Atkin-Lehner |
2- 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bu |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
1586989114200 = 23 · 315 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6978,213111] |
[a1,a2,a3,a4,a6] |
Generators |
[39:27:1] |
Generators of the group modulo torsion |
j |
1503074436598345/63479564568 |
j-invariant |
L |
8.487359291289 |
L(r)(E,1)/r! |
Ω |
0.83685772296733 |
Real period |
R |
3.3806460596695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bl1 |
Quadratic twists by: 5 |