Atkin-Lehner |
2+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12730c |
Isogeny class |
Conductor |
12730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-3869920 = -1 · 25 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12657854,17332522896] |
[a1,a2,a3,a4,a6] |
Generators |
[5949594:21852753:2744] |
Generators of the group modulo torsion |
j |
-224286900343878368247461209/3869920 |
j-invariant |
L |
1.3723461498849 |
L(r)(E,1)/r! |
Ω |
0.5796962206671 |
Real period |
R |
10.653092868839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101840j1 114570cc1 63650g1 |
Quadratic twists by: -4 -3 5 |