Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dj |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
21346578000000000 = 210 · 36 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101333,-10268037] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:375:1] |
Generators of the group modulo torsion |
j |
57537462272/10673289 |
j-invariant |
L |
7.4535754877592 |
L(r)(E,1)/r! |
Ω |
0.27101315992772 |
Real period |
R |
2.2918860870385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800fm1 3300g1 52800bn1 |
Quadratic twists by: -4 8 5 |