Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225q |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-66609375 = -1 · 3 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13,392] |
[a1,a2,a3,a4,a6] |
Generators |
[1:19:1] |
Generators of the group modulo torsion |
j |
-15625/4263 |
j-invariant |
L |
3.9041308434188 |
L(r)(E,1)/r! |
Ω |
1.5931367667057 |
Real period |
R |
2.450593649591 |
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 |
45675f1 609a1 106575x1 |
Quadratic twists by: -3 5 -7 |