Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bl |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
1360800 |
Modular degree for the optimal curve |
Δ |
24796704909375000 = 23 · 315 · 58 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174451,26987798] |
[a1,a2,a3,a4,a6] |
Generators |
[-1234:57313:8] |
Generators of the group modulo torsion |
j |
1503074436598345/63479564568 |
j-invariant |
L |
4.2242500886477 |
L(r)(E,1)/r! |
Ω |
0.37425415121013 |
Real period |
R |
2.2574232364816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005186 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82950bu1 |
Quadratic twists by: 5 |