Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330v |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
51851874926592000 = 220 · 36 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -6 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-96502,-3661484] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:2674:1] |
Generators of the group modulo torsion |
j |
3479896099239001/1815478272000 |
j-invariant |
L |
4.7604151031164 |
L(r)(E,1)/r! |
Ω |
0.28690194395496 |
Real period |
R |
1.3827067690188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330bv1 |
Quadratic twists by: 13 |