Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362w |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
21742448578728192 = 28 · 32 · 73 · 317 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1921059,1024022337] |
[a1,a2,a3,a4,a6] |
Generators |
[805:-202:1] |
Generators of the group modulo torsion |
j |
883437180088177/24498432 |
j-invariant |
L |
5.2990187331359 |
L(r)(E,1)/r! |
Ω |
0.35514195113824 |
Real period |
R |
3.7302117619111 |
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 |
121086e1 1302o1 |
Quadratic twists by: -3 -31 |