Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920o |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
156288 |
Modular degree for the optimal curve |
Δ |
-8112500000000 = -1 · 28 · 511 · 11 · 59 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 11+ -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5263,200938] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:370:1] |
Generators of the group modulo torsion |
j |
-62977273825104/31689453125 |
j-invariant |
L |
3.3323709226419 |
L(r)(E,1)/r! |
Ω |
0.68714765394408 |
Real period |
R |
4.8495703994792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12980e1 |
Quadratic twists by: -4 |