Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550t |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6528000 |
Modular degree for the optimal curve |
Δ |
-2.6476679424968E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7450299,151972048] |
[a1,a2,a3,a4,a6] |
j |
4683223237231312175/2711211973116768 |
j-invariant |
L |
2.8462215463509 |
L(r)(E,1)/r! |
Ω |
0.071155539858884 |
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 |
77550br1 |
Quadratic twists by: 5 |