Cremona's table of elliptic curves

155 = 5 · 31

Field	Data	Notes
Atkin-Lehner	5+ 31+	Signs for the Atkin-Lehner involutions
Class	155c	Isogeny class
Conductor	155	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	-155 = -1 · 5 · 31	Discriminant
Eigenvalues	0 -1 5+  0 -4 -6  5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1,1]	[a1,a2,a3,a4,a6]
Generators	[1:0:1]	Generators of the group modulo torsion
j	-262144/155	j-invariant
L	0.98431721566915	L(r)(E,1)/r!
Ω	5.3453690009277	Real period
R	0.18414392261756	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2480k1 9920i1 1395d1 775a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 155c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
0	-1	+	0	-4	-6	5	-1	8	-10	+	1	-3	-7	-6	5	11	-12	-2	9	-9	-10	9	0	-14

---

Quadratic twists for elliptic curve 155c1

-4	8	-3	5	-7	-11	13	17	-19	-23	-31
2480k1	9920i1	1395d1	775a1	7595i1	18755a1	26195k1	44795h1	55955c1	81995b1	4805b1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations