Atkin-Lehner |
2- 3+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8970o |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-4.5935149395109E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,520845,-292013775] |
[a1,a2,a3,a4,a6] |
Generators |
[1863:83618:1] |
Generators of the group modulo torsion |
j |
15626048148436249676879/45935149395109478400 |
j-invariant |
L |
5.8349690388324 |
L(r)(E,1)/r! |
Ω |
0.10350104074224 |
Real period |
R |
5.6375945565263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760cc1 26910p1 44850r1 116610e1 |
Quadratic twists by: -4 -3 5 13 |