Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850cx |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4213440 |
Modular degree for the optimal curve |
Δ |
-6492500000000000 = -1 · 211 · 513 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 3 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1651005,816948997] |
[a1,a2,a3,a4,a6] |
j |
-650058625147745961/8480000000 |
j-invariant |
L |
8.4663857047178 |
L(r)(E,1)/r! |
Ω |
0.38483580320785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970f1 129850bt1 |
Quadratic twists by: 5 -7 |