Atkin-Lehner |
2- 3- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34038l |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-636063408756 = -1 · 22 · 36 · 312 · 613 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 3 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8924,-324493] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1027:1] |
Generators of the group modulo torsion |
j |
-107802602036857/872514964 |
j-invariant |
L |
6.416738016262 |
L(r)(E,1)/r! |
Ω |
0.24548425462965 |
Real period |
R |
1.0891292576556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782b1 |
Quadratic twists by: -3 |