Atkin-Lehner |
2+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6314a |
Isogeny class |
Conductor |
6314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
13612984 = 23 · 73 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11+ 0 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85,-248] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] |
Generators of the group modulo torsion |
j |
66775173193/13612984 |
j-invariant |
L |
2.576005502154 |
L(r)(E,1)/r! |
Ω |
1.5970942092764 |
Real period |
R |
0.80646635846271 |
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 |
50512m1 56826z1 44198k1 69454x1 |
Quadratic twists by: -4 -3 -7 -11 |