Atkin-Lehner |
2- 3+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bo |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2680852148437500 = -1 · 22 · 33 · 511 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,32062,1163531] |
[a1,a2,a3,a4,a6] |
Generators |
[-2515510:56141087:97336] |
Generators of the group modulo torsion |
j |
233278475699879/171574537500 |
j-invariant |
L |
11.117915037095 |
L(r)(E,1)/r! |
Ω |
0.28995685870892 |
Real period |
R |
9.5858355117669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390f1 |
Quadratic twists by: 5 |