Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560bs |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
565664808960 = 222 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988,-51408] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:459:8] |
Generators of the group modulo torsion |
j |
15438249/2960 |
j-invariant |
L |
5.3001767729463 |
L(r)(E,1)/r! |
Ω |
0.65433335231391 |
Real period |
R |
4.0500585422313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560et1 3330t1 11840o1 |
Quadratic twists by: -4 8 -3 |