Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248p |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
858059113472 = 210 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18755,987602] |
[a1,a2,a3,a4,a6] |
Generators |
[59:294:1] |
Generators of the group modulo torsion |
j |
402178500/473 |
j-invariant |
L |
5.9733203827986 |
L(r)(E,1)/r! |
Ω |
0.88650506721741 |
Real period |
R |
3.3690277704524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41624l1 7568e1 |
Quadratic twists by: -4 -11 |