Atkin-Lehner |
2- 3+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990ba |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
250560 |
Modular degree for the optimal curve |
Δ |
76512088903800 = 23 · 3 · 52 · 11 · 1035 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44605,3582875] |
[a1,a2,a3,a4,a6] |
j |
9814653049160131921/76512088903800 |
j-invariant |
L |
3.6897144939719 |
L(r)(E,1)/r! |
Ω |
0.61495241566301 |
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 |
101970n1 |
Quadratic twists by: -3 |