Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756bd |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
8567178326784 = 28 · 36 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74919,-7891634] |
[a1,a2,a3,a4,a6] |
Generators |
[-115362:25606:729] |
Generators of the group modulo torsion |
j |
249190874485072/45906091 |
j-invariant |
L |
5.8594739188705 |
L(r)(E,1)/r! |
Ω |
0.28857344401465 |
Real period |
R |
6.768321942302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084f1 |
Quadratic twists by: -3 |