Atkin-Lehner |
2- 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
89680h |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
29386342400 = 220 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -4 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,2548] |
[a1,a2,a3,a4,a6] |
j |
13841287201/7174400 |
j-invariant |
L |
2.0743543340565 |
L(r)(E,1)/r! |
Ω |
1.0371772015047 |
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 |
11210d1 |
Quadratic twists by: -4 |