Atkin-Lehner |
3+ 5+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
25365c |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17952 |
Modular degree for the optimal curve |
Δ |
1497777885 = 311 · 5 · 19 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 -2 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-396,2531] |
[a1,a2,a3,a4,a6] |
Generators |
[356:1355:64] |
Generators of the group modulo torsion |
j |
6885024845824/1497777885 |
j-invariant |
L |
8.0041445937592 |
L(r)(E,1)/r! |
Ω |
1.4253964985883 |
Real period |
R |
5.6153811249618 |
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 |
76095k1 126825x1 |
Quadratic twists by: -3 5 |