Atkin-Lehner |
2- 3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37380a |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
747600 = 24 · 3 · 52 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-621,-5754] |
[a1,a2,a3,a4,a6] |
Generators |
[35:119:1] |
Generators of the group modulo torsion |
j |
1657973899264/46725 |
j-invariant |
L |
4.9211766971557 |
L(r)(E,1)/r! |
Ω |
0.95624488636044 |
Real period |
R |
3.4309040618847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140q1 |
Quadratic twists by: -3 |