Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950y |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-50413121718750 = -1 · 2 · 35 · 57 · 75 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8026,-440302] |
[a1,a2,a3,a4,a6] |
Generators |
[322:5351:1] |
Generators of the group modulo torsion |
j |
-3658671062929/3226439790 |
j-invariant |
L |
6.6301876389871 |
L(r)(E,1)/r! |
Ω |
0.24324939340638 |
Real period |
R |
0.27256748888528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590n1 |
Quadratic twists by: 5 |