Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368c |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-12980072448 = -1 · 212 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 3 -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20520,-1131408] |
[a1,a2,a3,a4,a6] |
j |
-11852352000/161 |
j-invariant |
L |
0.79778314622631 |
L(r)(E,1)/r! |
Ω |
0.19944578655771 |
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 |
46368bg1 92736f1 46368bb1 |
Quadratic twists by: -4 8 -3 |