Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362v |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
27732715023888 = 24 · 32 · 7 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40382,3096299] |
[a1,a2,a3,a4,a6] |
Generators |
[1179:39361:1] |
Generators of the group modulo torsion |
j |
8205738913/31248 |
j-invariant |
L |
8.0198601554896 |
L(r)(E,1)/r! |
Ω |
0.66885473396251 |
Real period |
R |
5.9952182052856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121086i1 1302n1 |
Quadratic twists by: -3 -31 |