Atkin-Lehner |
2+ 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202q |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-198873252864 = -1 · 210 · 310 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3285,-74763] |
[a1,a2,a3,a4,a6] |
j |
-5378691911761/272802816 |
j-invariant |
L |
1.2575011207345 |
L(r)(E,1)/r! |
Ω |
0.31437527964526 |
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 |
19734s1 |
Quadratic twists by: -3 |