Atkin-Lehner |
7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
28861h |
Isogeny class |
Conductor |
28861 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20112 |
Modular degree for the optimal curve |
Δ |
-859798051 = -1 · 72 · 19 · 314 |
Discriminant |
Eigenvalues |
2 2 -2 7- 1 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-114,1525] |
[a1,a2,a3,a4,a6] |
j |
-3373232128/17546899 |
j-invariant |
L |
5.4803365026152 |
L(r)(E,1)/r! |
Ω |
1.3700841256542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28861b1 |
Quadratic twists by: -7 |