Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23595j |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
120120 |
Modular degree for the optimal curve |
Δ |
-42560326918395 = -1 · 37 · 5 · 116 · 133 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 11- 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23030,-1373692] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
0.58024406475619 |
L(r)(E,1)/r! |
Ω |
0.1934146882521 |
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 |
70785v1 117975bn1 195d1 |
Quadratic twists by: -3 5 -11 |