Atkin-Lehner |
2- 3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690k |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
7605589582080 = 28 · 37 · 5 · 73 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77665,8297375] |
[a1,a2,a3,a4,a6] |
j |
51808390599590850961/7605589582080 |
j-invariant |
L |
2.8646278868635 |
L(r)(E,1)/r! |
Ω |
0.71615697171588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070e1 93450bf1 |
Quadratic twists by: -3 5 |