Atkin-Lehner |
2+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488j |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
26240 |
Modular degree for the optimal curve |
Δ |
15303212288 = 28 · 7 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 3 13- 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1177,14757] |
[a1,a2,a3,a4,a6] |
j |
704988556288/59778173 |
j-invariant |
L |
6.0699235273953 |
L(r)(E,1)/r! |
Ω |
1.2139847054775 |
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 |
16744h1 |
Quadratic twists by: -4 |