Atkin-Lehner |
2- 3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350br |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
18247680 |
Modular degree for the optimal curve |
Δ |
3.5009934348546E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24167463,35777570781] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:206642:1] |
Generators of the group modulo torsion |
j |
99907219952951041758889/22406357983069209600 |
j-invariant |
L |
10.766340086976 |
L(r)(E,1)/r! |
Ω |
0.090345701439059 |
Real period |
R |
1.9861376759461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470l1 |
Quadratic twists by: 5 |