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 |
Δ |
8381792256 = 219 · 3 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32792,2296560] |
[a1,a2,a3,a4,a6] |
j |
952095963508633/2046336 |
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 |
438e2 14016bv2 10512p2 87600cl2 |
Quadratic twists by: -4 8 -3 5 |