Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15246bp |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
1010738993642532 = 22 · 37 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44672,-3285345] |
[a1,a2,a3,a4,a6] |
j |
5735339/588 |
j-invariant |
L |
2.6445115761115 |
L(r)(E,1)/r! |
Ω |
0.33056394701393 |
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 |
121968dp1 5082f1 106722gc1 15246h1 |
Quadratic twists by: -4 -3 -7 -11 |