Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336q |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
3595206393856 = 224 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11+ 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3904,23552] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:322:1] |
Generators of the group modulo torsion |
j |
1606957644097/877735936 |
j-invariant |
L |
5.1696927449018 |
L(r)(E,1)/r! |
Ω |
0.68724559575442 |
Real period |
R |
3.7611683340268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542q1 113344di1 |
Quadratic twists by: -4 8 |