Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610bw |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
481852800 |
Modular degree for the optimal curve |
Δ |
2.9635878307736E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21563265591,894067073840013] |
[a1,a2,a3,a4,a6] |
Generators |
[15979:23520458:1] |
Generators of the group modulo torsion |
j |
1359316190946693608197656529/363304673280000000000000 |
j-invariant |
L |
9.36314081884 |
L(r)(E,1)/r! |
Ω |
0.016142902476644 |
Real period |
R |
3.8667729531297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610w1 |
Quadratic twists by: 13 |