Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550cs |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
2430 |
Product of Tamagawa factors cp |
deg |
583200 |
Modular degree for the optimal curve |
Δ |
-1.191045374442E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1207612,121765392] |
[a1,a2,a3,a4,a6] |
Generators |
[28:12460:1] |
Generators of the group modulo torsion |
j |
498592699047570335/304907615857152 |
j-invariant |
L |
8.1529608070879 |
L(r)(E,1)/r! |
Ω |
0.11487761292615 |
Real period |
R |
0.26285496684871 |
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 |
92400fg1 34650cj1 11550e1 80850fc1 |
Quadratic twists by: -4 -3 5 -7 |