Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15096h |
Isogeny class |
Conductor |
15096 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-222229384068096 = -1 · 210 · 35 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10104,-820224] |
[a1,a2,a3,a4,a6] |
j |
-111415791497188/217020882879 |
j-invariant |
L |
1.1196851779048 |
L(r)(E,1)/r! |
Ω |
0.22393703558096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30192c1 120768c1 45288g1 |
Quadratic twists by: -4 8 -3 |