Atkin-Lehner |
5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9025g |
Isogeny class |
Conductor |
9025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-111733967375 = -1 · 53 · 197 |
Discriminant |
Eigenvalues |
1 0 5- 2 -4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,113,-16104] |
[a1,a2,a3,a4,a6] |
Generators |
[379304:3099944:4913] |
Generators of the group modulo torsion |
j |
27/19 |
j-invariant |
L |
5.023547681627 |
L(r)(E,1)/r! |
Ω |
0.49217842045225 |
Real period |
R |
10.20676135498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225bq1 9025h1 475c1 |
Quadratic twists by: -3 5 -19 |