Atkin-Lehner |
2- 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70928m |
Isogeny class |
Conductor |
70928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1498398826496 = -1 · 213 · 114 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,58864] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:88:1] [12:-248:1] |
Generators of the group modulo torsion |
j |
18191447/365820026 |
j-invariant |
L |
6.8762409418752 |
L(r)(E,1)/r! |
Ω |
0.67039070870089 |
Real period |
R |
0.32053327506797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866a1 |
Quadratic twists by: -4 |