Atkin-Lehner |
2- 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950br |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
49040640 |
Modular degree for the optimal curve |
Δ |
-5.3345052084719E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2849491463,58545082822781] |
[a1,a2,a3,a4,a6] |
Generators |
[30845:-6848:1] |
Generators of the group modulo torsion |
j |
-163759222102650878211152655529/34140833334220032000 |
j-invariant |
L |
7.1231511274407 |
L(r)(E,1)/r! |
Ω |
0.073309572410678 |
Real period |
R |
2.2083036787212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590j1 |
Quadratic twists by: 5 |