Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650h |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3779218750 = -1 · 2 · 57 · 192 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12838,-560958] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:3057:8] |
Generators of the group modulo torsion |
j |
-14976071831449/241870 |
j-invariant |
L |
4.5581483154398 |
L(r)(E,1)/r! |
Ω |
0.22425628279833 |
Real period |
R |
5.0814053666614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730b1 |
Quadratic twists by: 5 |