Atkin-Lehner |
2+ 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
15438b |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-6669216 = -1 · 25 · 34 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-709,-7571] |
[a1,a2,a3,a4,a6] |
j |
-39502007583193/6669216 |
j-invariant |
L |
0.92502584667596 |
L(r)(E,1)/r! |
Ω |
0.46251292333798 |
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 |
123504bl1 46314x1 |
Quadratic twists by: -4 -3 |