Atkin-Lehner |
2- 3+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990m |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-882374965198848000 = -1 · 221 · 33 · 53 · 112 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-300293,77884157] |
[a1,a2,a3,a4,a6] |
Generators |
[255:-4352:1] |
Generators of the group modulo torsion |
j |
-110916004861742079987/32680554266624000 |
j-invariant |
L |
7.5818014604908 |
L(r)(E,1)/r! |
Ω |
0.26590630067217 |
Real period |
R |
1.0183234566065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013111 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99990d2 |
Quadratic twists by: -3 |