Atkin-Lehner |
3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525j |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-78913383458203125 = -1 · 316 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 -1 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,97112,6895406] |
[a1,a2,a3,a4,a6] |
j |
259287806165855/202018261653 |
j-invariant |
L |
0.88147520785909 |
L(r)(E,1)/r! |
Ω |
0.22036880196477 |
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 |
55575bh1 18525n1 |
Quadratic twists by: -3 5 |