Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400cl |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.4273827426031E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1014783,-349300812] |
[a1,a2,a3,a4,a6] |
Generators |
[-19824:19250:27] |
Generators of the group modulo torsion |
j |
462278484549842944/57095309704125 |
j-invariant |
L |
7.7390074865093 |
L(r)(E,1)/r! |
Ω |
0.15163890060593 |
Real period |
R |
4.2529805180241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200f1 18480c1 |
Quadratic twists by: -4 5 |