Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515c |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4292352 |
Modular degree for the optimal curve |
Δ |
-1.5800653619061E+19 |
Discriminant |
Eigenvalues |
-1 3 5+ 7+ -1 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-324333438,2248285015576] |
[a1,a2,a3,a4,a6] |
j |
-48181043296511332209/201768035 |
j-invariant |
L |
2.373418184639 |
L(r)(E,1)/r! |
Ω |
0.14833863653994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575u1 129605bd1 18515p1 |
Quadratic twists by: 5 -7 -23 |