Atkin-Lehner |
2- 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258l |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-914687488 = -1 · 29 · 11 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 0 0 0 11+ 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,215,745] |
[a1,a2,a3,a4,a6] |
Generators |
[1:30:1] |
Generators of the group modulo torsion |
j |
6531978375/5412352 |
j-invariant |
L |
9.4103479032528 |
L(r)(E,1)/r! |
Ω |
1.0175986579445 |
Real period |
R |
0.51375569171854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115258e1 |
Quadratic twists by: 13 |