Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260y |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
157964677200 = 24 · 36 · 52 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2412,-41391] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:55:1] |
Generators of the group modulo torsion |
j |
133047926784/13542925 |
j-invariant |
L |
8.1899238891173 |
L(r)(E,1)/r! |
Ω |
0.68572071477875 |
Real period |
R |
0.49764695943522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8140a1 |
Quadratic twists by: -3 |