Atkin-Lehner |
5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
110515b |
Isogeny class |
Conductor |
110515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-1.4609874215433E+19 |
Discriminant |
Eigenvalues |
1 1 5+ -1 6 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1713964,-883179689] |
[a1,a2,a3,a4,a6] |
Generators |
[889364:103913159:64] |
Generators of the group modulo torsion |
j |
-627419875521529/16461761825 |
j-invariant |
L |
9.7777721204082 |
L(r)(E,1)/r! |
Ω |
0.065871349915579 |
Real period |
R |
4.6386688509104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999966217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3565a1 |
Quadratic twists by: -31 |