Cremona's table of elliptic curves

455 = 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	5- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	455b	Isogeny class
Conductor	455	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-874680625 = -1 · 54 · 72 · 134	Discriminant
Eigenvalues	-1  0 5- 7+  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,173,1076]	[a1,a2,a3,a4,a6]
Generators	[-4:19:1]	Generators of the group modulo torsion
j	575722725759/874680625	j-invariant
L	1.3274338885416	L(r)(E,1)/r!
Ω	1.0733789376966	Real period
R	0.61834355134182	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7280w4 29120a3 4095g4 2275c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 455b4

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
-1	0	-	+	0	-	-6	0	-4	-2	-4	-10	2	-8	0	-2	0	-2	-4	12	-6	8	4	2	-14

---

Quadratic twists for elliptic curve 455b4

-4	8	-3	5	-7	-11	13
7280w4	29120a3	4095g4	2275c4	3185a4	55055q3	5915a4

---

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