Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050bk |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3516696000 = -1 · 26 · 38 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1073,13737] |
[a1,a2,a3,a4,a6] |
Generators |
[16:19:1] |
Generators of the group modulo torsion |
j |
-1093045300901/28133568 |
j-invariant |
L |
7.7045263937688 |
L(r)(E,1)/r! |
Ω |
1.4033118840575 |
Real period |
R |
0.22876021839529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400ch1 30150bh1 10050f1 |
Quadratic twists by: -4 -3 5 |