Atkin-Lehner |
5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675n |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6013800 |
Modular degree for the optimal curve |
Δ |
-1070284551875 = -1 · 54 · 73 · 115 · 31 |
Discriminant |
Eigenvalues |
2 1 5- 7+ 11- -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-293819758,-1938614919531] |
[a1,a2,a3,a4,a6] |
j |
-4488349696812710113158246400/1712455283 |
j-invariant |
L |
4.4669942487924 |
L(r)(E,1)/r! |
Ω |
0.018232629618703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59675h2 |
Quadratic twists by: 5 |