Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72216l |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-919634363136 = -1 · 28 · 36 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 1 4 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2919,-76246] |
[a1,a2,a3,a4,a6] |
Generators |
[461:9826:1] |
Generators of the group modulo torsion |
j |
-14738677072/4927739 |
j-invariant |
L |
6.3920074555814 |
L(r)(E,1)/r! |
Ω |
0.31934747459129 |
Real period |
R |
2.5019798039355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8024i1 |
Quadratic twists by: -3 |