Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715s |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-22807137420585 = -1 · 36 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8190,368361] |
[a1,a2,a3,a4,a6] |
j |
-1771561/665 |
j-invariant |
L |
2.5457103737844 |
L(r)(E,1)/r! |
Ω |
0.63642759318816 |
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 |
12635f1 5985k1 |
Quadratic twists by: -3 -19 |