Atkin-Lehner |
5- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18445b |
Isogeny class |
Conductor |
18445 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
23321396875 = 55 · 72 · 173 · 31 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ -2 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1015,-10470] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:19:1] [-22:53:1] |
Generators of the group modulo torsion |
j |
115650783909361/23321396875 |
j-invariant |
L |
4.146491203099 |
L(r)(E,1)/r! |
Ω |
0.85777661577681 |
Real period |
R |
0.16113329612216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92225b1 129115e1 |
Quadratic twists by: 5 -7 |