Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950cq |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
1360 |
Product of Tamagawa factors cp |
deg |
7833600 |
Modular degree for the optimal curve |
Δ |
2.886969454284E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10521938,-10284320508] |
[a1,a2,a3,a4,a6] |
Generators |
[-2492:22750:1] |
Generators of the group modulo torsion |
j |
8245004631147186217561/1847660450741747712 |
j-invariant |
L |
13.299571875886 |
L(r)(E,1)/r! |
Ω |
0.085169163561862 |
Real period |
R |
0.45927876034901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3318b1 |
Quadratic twists by: 5 |