Atkin-Lehner |
3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477a |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2155837761 = 34 · 72 · 112 · 672 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-324,-405] |
[a1,a2,a3,a4,a6] |
Generators |
[-1270:6179:125] |
Generators of the group modulo torsion |
j |
3779648905033/2155837761 |
j-invariant |
L |
6.1980470011982 |
L(r)(E,1)/r! |
Ω |
1.2171497881642 |
Real period |
R |
5.0922631392366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46431k2 108339p2 |
Quadratic twists by: -3 -7 |