Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56088j |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
117322173612288 = 28 · 315 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1121439,457100098] |
[a1,a2,a3,a4,a6] |
j |
835763084682860752/628655337 |
j-invariant |
L |
3.9241992664379 |
L(r)(E,1)/r! |
Ω |
0.49052490836453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112176f1 18696d1 |
Quadratic twists by: -4 -3 |