Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360cb |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1033600000 = -1 · 210 · 55 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -2 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,-1425] |
[a1,a2,a3,a4,a6] |
j |
180472064/1009375 |
j-invariant |
L |
0.7808195226981 |
L(r)(E,1)/r! |
Ω |
0.78081981635681 |
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 |
103360m1 25840bc1 |
Quadratic twists by: -4 8 |