Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504w |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-3310523136 = -1 · 28 · 311 · 73 |
Discriminant |
Eigenvalues |
2- 3- 1 4 0 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48885,-4176513] |
[a1,a2,a3,a4,a6] |
j |
-50468394519494656/12931731 |
j-invariant |
L |
3.5318120823422 |
L(r)(E,1)/r! |
Ω |
0.16053691283374 |
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 |
876a1 14016bm1 10512u1 87600bi1 |
Quadratic twists by: -4 8 -3 5 |