Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989k |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
380 |
Product of Tamagawa factors cp |
deg |
45964800 |
Modular degree for the optimal curve |
Δ |
1.4569009174873E+27 |
Discriminant |
Eigenvalues |
0 3- 3 -1 0 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-613765599,5556859171409] |
[a1,a2,a3,a4,a6] |
Generators |
[1130055:108043691:125] |
Generators of the group modulo torsion |
j |
5383047368354294628352/306709251749102421 |
j-invariant |
L |
9.0630787659493 |
L(r)(E,1)/r! |
Ω |
0.04713264013092 |
Real period |
R |
0.50602315422863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829c1 |
Quadratic twists by: 41 |