Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088bn |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-5828799021056 = -1 · 214 · 115 · 472 |
Discriminant |
Eigenvalues |
2- -3 1 4 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27472,-1756448] |
[a1,a2,a3,a4,a6] |
j |
-139950548941824/355761659 |
j-invariant |
L |
1.853876741693 |
L(r)(E,1)/r! |
Ω |
0.18538767417 |
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 |
33088g1 8272b1 |
Quadratic twists by: -4 8 |