Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320bp |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
35028450000 = 24 · 36 · 55 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9468,354483] |
[a1,a2,a3,a4,a6] |
j |
8047314026496/3003125 |
j-invariant |
L |
1.1401277005464 |
L(r)(E,1)/r! |
Ω |
1.1401277005464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5580d1 89280ft1 2480n1 111600fd1 |
Quadratic twists by: -4 8 -3 5 |