Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872d |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
1289312061666384 = 24 · 3 · 73 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 0 2 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4728907,-3956546624] |
[a1,a2,a3,a4,a6] |
j |
9333906638848/1029 |
j-invariant |
L |
0.81902924375112 |
L(r)(E,1)/r! |
Ω |
0.10237864012643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88872i1 |
Quadratic twists by: -23 |