Atkin-Lehner |
7- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15799d |
Isogeny class |
Conductor |
15799 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-3167780217091 = -1 · 75 · 373 · 612 |
Discriminant |
Eigenvalues |
0 2 1 7- 1 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1175,-84610] |
[a1,a2,a3,a4,a6] |
j |
179253501231104/3167780217091 |
j-invariant |
L |
3.8870918108625 |
L(r)(E,1)/r! |
Ω |
0.38870918108625 |
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 |
110593c1 |
Quadratic twists by: -7 |