Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
94800w |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
12840960 |
Modular degree for the optimal curve |
Δ |
27989226000000000 = 210 · 311 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-583109208,-5419865864412] |
[a1,a2,a3,a4,a6] |
Generators |
[-169632107:-26952:12167] |
Generators of the group modulo torsion |
j |
10963353452229151780244/13994613 |
j-invariant |
L |
6.5730718740828 |
L(r)(E,1)/r! |
Ω |
0.030722890977736 |
Real period |
R |
9.7248658679633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47400x1 94800h1 |
Quadratic twists by: -4 5 |