Atkin-Lehner |
2+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650j |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56000 |
Modular degree for the optimal curve |
Δ |
-756500000 = -1 · 25 · 56 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 4 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1125,14125] |
[a1,a2,a3,a4,a6] |
Generators |
[9:65:1] |
Generators of the group modulo torsion |
j |
-10091699281/48416 |
j-invariant |
L |
4.9226563516994 |
L(r)(E,1)/r! |
Ω |
1.6066693329576 |
Real period |
R |
3.0638889097891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026b1 |
Quadratic twists by: 5 |