Atkin-Lehner |
2+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680f |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-268400 = -1 · 24 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[9:25:1] [57:433:1] |
Generators of the group modulo torsion |
j |
-30118144/16775 |
j-invariant |
L |
10.283722421354 |
L(r)(E,1)/r! |
Ω |
1.1574766205478 |
Real period |
R |
4.442302435657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26840d1 |
Quadratic twists by: -4 |