Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35090z |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-273521932156000000 = -1 · 28 · 56 · 119 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16635,-25147583] |
[a1,a2,a3,a4,a6] |
Generators |
[362:5143:1] |
Generators of the group modulo torsion |
j |
287365339799/154396000000 |
j-invariant |
L |
5.9458166459232 |
L(r)(E,1)/r! |
Ω |
0.14469431328364 |
Real period |
R |
0.85608879376334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3190c1 |
Quadratic twists by: -11 |