Atkin-Lehner |
3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3219a |
Isogeny class |
Conductor |
3219 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
580 |
Modular degree for the optimal curve |
Δ |
-260739 = -1 · 35 · 29 · 37 |
Discriminant |
Eigenvalues |
2 3- -1 5 0 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,-41] |
[a1,a2,a3,a4,a6] |
j |
-481890304/260739 |
j-invariant |
L |
5.7907259473622 |
L(r)(E,1)/r! |
Ω |
1.1581451894724 |
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 |
51504d1 9657c1 80475d1 93351b1 |
Quadratic twists by: -4 -3 5 29 |