Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23595h |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1698124260421875 = -1 · 3 · 56 · 118 · 132 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 11- 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4880,-1985347] |
[a1,a2,a3,a4,a6] |
j |
-59969536/7921875 |
j-invariant |
L |
2.517703092476 |
L(r)(E,1)/r! |
Ω |
0.20980859103967 |
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 |
70785w1 117975bp1 23595g1 |
Quadratic twists by: -3 5 -11 |