Atkin-Lehner |
2+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59800c |
Isogeny class |
Conductor |
59800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-37190816000000 = -1 · 211 · 56 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 2 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7592,-143312] |
[a1,a2,a3,a4,a6] |
j |
1512116062/1162213 |
j-invariant |
L |
2.1742910558838 |
L(r)(E,1)/r! |
Ω |
0.36238184287132 |
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 |
119600d1 2392a1 |
Quadratic twists by: -4 5 |