Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bf |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-594276724080 = -1 · 24 · 34 · 5 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1694,45632] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:259:1] |
Generators of the group modulo torsion |
j |
-111284641/123120 |
j-invariant |
L |
4.7171331209102 |
L(r)(E,1)/r! |
Ω |
0.83232689255816 |
Real period |
R |
0.70842555350489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570m1 |
Quadratic twists by: 13 |