Atkin-Lehner |
2+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722d |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
99792 |
Modular degree for the optimal curve |
Δ |
6526089090458 = 2 · 78 · 19 · 313 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4681,-9558] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:169:1] |
Generators of the group modulo torsion |
j |
1967079625/1132058 |
j-invariant |
L |
2.6763914534813 |
L(r)(E,1)/r! |
Ω |
0.62802494308888 |
Real period |
R |
4.26160056712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994329 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57722g1 |
Quadratic twists by: -7 |