Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400o |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
106752 |
Modular degree for the optimal curve |
Δ |
-5112627200 = -1 · 215 · 52 · 792 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 1 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-3440] |
[a1,a2,a3,a4,a6] |
Generators |
[21:79:1] |
Generators of the group modulo torsion |
j |
1080/6241 |
j-invariant |
L |
3.2108483431655 |
L(r)(E,1)/r! |
Ω |
0.63070307026065 |
Real period |
R |
1.2727258140579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400x1 63200d1 126400bc1 |
Quadratic twists by: -4 8 5 |