Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800br |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
70211250000 = 24 · 32 · 57 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1033,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:24:1] |
Generators of the group modulo torsion |
j |
488095744/280845 |
j-invariant |
L |
6.142530611005 |
L(r)(E,1)/r! |
Ω |
0.93455838260269 |
Real period |
R |
3.2863279229331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23700n1 18960v1 |
Quadratic twists by: -4 5 |