Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560fp |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
4315680000000000 = 214 · 36 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59952,-4683296] |
[a1,a2,a3,a4,a6] |
j |
1995203838976/361328125 |
j-invariant |
L |
3.089061147846 |
L(r)(E,1)/r! |
Ω |
0.30890612597597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560cn1 26640i1 11840w1 |
Quadratic twists by: -4 8 -3 |