Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575w |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-85529925 = -1 · 36 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 3 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2570,-49498] |
[a1,a2,a3,a4,a6] |
j |
-102966775105/4693 |
j-invariant |
L |
1.3410911126355 |
L(r)(E,1)/r! |
Ω |
0.33527277837012 |
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 |
6175c1 55575bb1 |
Quadratic twists by: -3 5 |