Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400g |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1294336000000 = 220 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -4 -7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,155137] |
[a1,a2,a3,a4,a6] |
Generators |
[33:64:1] |
Generators of the group modulo torsion |
j |
4826809/316 |
j-invariant |
L |
4.8243572867825 |
L(r)(E,1)/r! |
Ω |
0.84394623132963 |
Real period |
R |
1.4291068523419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998299823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400cb1 3950g1 5056a1 |
Quadratic twists by: -4 8 5 |