Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304l |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
29356024896 = 26 · 32 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4762,124640] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:12320:27] |
Generators of the group modulo torsion |
j |
186639304825792/458687889 |
j-invariant |
L |
10.32257452397 |
L(r)(E,1)/r! |
Ω |
1.1814246885808 |
Real period |
R |
4.3686976509695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62304t1 124608j2 |
Quadratic twists by: -4 8 |