Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808bi |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
587464704 = 218 · 33 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,-2800] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:15:1] |
Generators of the group modulo torsion |
j |
970299/83 |
j-invariant |
L |
4.3828706193489 |
L(r)(E,1)/r! |
Ω |
1.0760596026174 |
Real period |
R |
2.036537106623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808b1 11952h1 47808bc1 |
Quadratic twists by: -4 8 -3 |