Atkin-Lehner |
3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9975c |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-204518671875 = -1 · 39 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1217,13968] |
[a1,a2,a3,a4,a6] |
j |
12747309056/13089195 |
j-invariant |
L |
1.3239054606538 |
L(r)(E,1)/r! |
Ω |
0.66195273032691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29925t1 1995f1 69825bl1 |
Quadratic twists by: -3 5 -7 |