Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904r |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
20680704 = 212 · 33 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6729,-210231] |
[a1,a2,a3,a4,a6] |
j |
8227727284672/5049 |
j-invariant |
L |
2.1084657546035 |
L(r)(E,1)/r! |
Ω |
0.52711643865242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904bc1 17952e1 107712bl1 |
Quadratic twists by: -4 8 -3 |