Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246j |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-24012708212598336 = -1 · 26 · 36 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54654,-8917804] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:32986:1] |
Generators of the group modulo torsion |
j |
-115538049/153664 |
j-invariant |
L |
3.5906793233322 |
L(r)(E,1)/r! |
Ω |
0.14879262229056 |
Real period |
R |
3.0165132417659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968fm1 1694e1 106722cz1 15246bq1 |
Quadratic twists by: -4 -3 -7 -11 |