Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288bg |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
244202905516752 = 24 · 310 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31915,-2072386] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:351:1] |
Generators of the group modulo torsion |
j |
1909913257984/129730653 |
j-invariant |
L |
4.0203036786231 |
L(r)(E,1)/r! |
Ω |
0.35871629538674 |
Real period |
R |
0.37358247825427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576q1 122304bn1 45864w1 312e1 |
Quadratic twists by: -4 8 -3 -7 |