Atkin-Lehner |
3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477a |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-33848199 = -1 · 38 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,81,0] |
[a1,a2,a3,a4,a6] |
Generators |
[564480:2274832:91125] |
Generators of the group modulo torsion |
j |
57646656647/33848199 |
j-invariant |
L |
6.1980470011982 |
L(r)(E,1)/r! |
Ω |
1.2171497881642 |
Real period |
R |
10.184526278473 |
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 |
46431k1 108339p1 |
Quadratic twists by: -3 -7 |