Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600cf |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
39190528000 = 220 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 1 2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2088,-36172] |
[a1,a2,a3,a4,a6] |
j |
1967221277/76544 |
j-invariant |
L |
2.8317143303909 |
L(r)(E,1)/r! |
Ω |
0.70792856266561 |
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 |
14950p1 119600cl1 |
Quadratic twists by: -4 5 |