Atkin-Lehner |
2- 3+ 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194q |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.0215382876723E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46978447,123831753701] |
[a1,a2,a3,a4,a6] |
Generators |
[19880089:-26837076:4913] |
Generators of the group modulo torsion |
j |
11466204427016359296126298993/9021538287672272337456 |
j-invariant |
L |
8.2763312206895 |
L(r)(E,1)/r! |
Ω |
0.12899935737943 |
Real period |
R |
8.01974074602 |
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 |
75582j2 |
Quadratic twists by: -3 |