Atkin-Lehner |
2- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15428a |
Isogeny class |
Conductor |
15428 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-131323136 = -1 · 28 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 1 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2660,53704] |
[a1,a2,a3,a4,a6] |
Generators |
[26:38:1] |
Generators of the group modulo torsion |
j |
-8133770514256/512981 |
j-invariant |
L |
4.3689483721568 |
L(r)(E,1)/r! |
Ω |
1.7540620072846 |
Real period |
R |
0.20756337546851 |
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 |
61712j1 107996c1 |
Quadratic twists by: -4 -7 |