Atkin-Lehner |
3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31713d |
Isogeny class |
Conductor |
31713 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6566400 |
Modular degree for the optimal curve |
Δ |
3.4250547327821E+24 |
Discriminant |
Eigenvalues |
1 3- -2 -2 11+ -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-96601182,-354439319621] |
[a1,a2,a3,a4,a6] |
Generators |
[30959449486615529182675107442:-1427830251272579575538892691851:2519318497389698040651224] |
Generators of the group modulo torsion |
j |
112331320422638310937/3859200593875737 |
j-invariant |
L |
5.4918524612847 |
L(r)(E,1)/r! |
Ω |
0.048257997935179 |
Real period |
R |
37.933970852952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95139i1 1023a1 |
Quadratic twists by: -3 -31 |