Cremona's table of elliptic curves

195 = 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	195c	Isogeny class
Conductor	195	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	84	Modular degree for the optimal curve
Δ	-27421875 = -1 · 33 · 57 · 13	Discriminant
Eigenvalues	2 3- 5+ -1  5 13+ -7 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-66,-349]	[a1,a2,a3,a4,a6]
j	-32278933504/27421875	j-invariant
L	2.4225847175064	L(r)(E,1)/r!
Ω	0.80752823916881	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3120m1 12480q1 585i1 975d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 195c1

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
2	-	+	-1	5	+	-7	-6	3	2	2	7	9	-8	10	5	0	5	-4	9	-6	-3	-4	11	-11

---

Quadratic twists for elliptic curve 195c1

-4	8	-3	5	-7	-11	13	17	-19	-23
3120m1	12480q1	585i1	975d1	9555m1	23595m1	2535k1	56355i1	70395f1	103155m1

---

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