Atkin-Lehner |
5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9025a |
Isogeny class |
Conductor |
9025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
-107171875 = -1 · 56 · 193 |
Discriminant |
Eigenvalues |
0 0 5+ -3 -5 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-950,11281] |
[a1,a2,a3,a4,a6] |
Generators |
[19:9:1] |
Generators of the group modulo torsion |
j |
-884736 |
j-invariant |
L |
2.578404915291 |
L(r)(E,1)/r! |
Ω |
1.8740709414798 |
Real period |
R |
0.68791550475004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225p1 361a1 9025a2 |
Quadratic twists by: -3 5 -19 |