Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504n |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
44090523648 = 226 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2072,35568] |
[a1,a2,a3,a4,a6] |
j |
240293820313/10764288 |
j-invariant |
L |
2.253857076352 |
L(r)(E,1)/r! |
Ω |
1.126928538176 |
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 |
438e1 14016bv1 10512p1 87600cl1 |
Quadratic twists by: -4 8 -3 5 |