Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246bv |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4480505322467328 = -1 · 212 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4016,-3220973] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1241:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
6.68159805829 |
L(r)(E,1)/r! |
Ω |
0.19607968318045 |
Real period |
R |
1.4198305228758 |
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 |
121968eh1 1694d1 106722gt1 1386c1 |
Quadratic twists by: -4 -3 -7 -11 |