Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bp |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
14000590800 = 24 · 36 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,-6224] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:44:1] |
Generators of the group modulo torsion |
j |
3016755625/768208 |
j-invariant |
L |
2.9332789242571 |
L(r)(E,1)/r! |
Ω |
0.91678414744046 |
Real period |
R |
0.53325509835602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650u1 59850gq1 |
Quadratic twists by: -3 5 |