Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
3752k |
Isogeny class |
Conductor |
3752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
80878779856 = 24 · 75 · 673 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ -4 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1258,-10379] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:67:1] |
Generators of the group modulo torsion |
j |
13760862418944/5054923741 |
j-invariant |
L |
1.8200291133005 |
L(r)(E,1)/r! |
Ω |
0.82636634452226 |
Real period |
R |
0.36707470912969 |
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 |
7504i1 30016e1 33768e1 93800h1 |
Quadratic twists by: -4 8 -3 5 |