Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600bv |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3603456 |
Modular degree for the optimal curve |
Δ |
-634757632439091200 = -1 · 229 · 52 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1224115,522699890] |
[a1,a2,a3,a4,a6] |
j |
-1981027090746418545/6198805004288 |
j-invariant |
L |
9.2651501049662 |
L(r)(E,1)/r! |
Ω |
0.28953590526325 |
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 |
14950h1 119600cd1 |
Quadratic twists by: -4 5 |