Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bt |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6727500000000000000 = 214 · 32 · 516 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1048736,-394441740] |
[a1,a2,a3,a4,a6] |
Generators |
[-4662:35007:8] |
Generators of the group modulo torsion |
j |
31143162165402407329/1642456054687500 |
j-invariant |
L |
9.3319837930607 |
L(r)(E,1)/r! |
Ω |
0.14967716733349 |
Real period |
R |
7.7934263104992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000005309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970l4 |
Quadratic twists by: -4 |