Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
36360s |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
274818769920 = 210 · 312 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,-29378] |
[a1,a2,a3,a4,a6] |
j |
1499221444/368145 |
j-invariant |
L |
1.4252293250337 |
L(r)(E,1)/r! |
Ω |
0.71261466251492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72720p1 12120i1 |
Quadratic twists by: -4 -3 |