Atkin-Lehner |
2+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6314c |
Isogeny class |
Conductor |
6314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
4445056 = 27 · 7 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3 -1 7+ 11- 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-505,-4243] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:175:27] |
Generators of the group modulo torsion |
j |
14258751510249/4445056 |
j-invariant |
L |
4.6301379008418 |
L(r)(E,1)/r! |
Ω |
1.007034920206 |
Real period |
R |
2.2988963977012 |
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 |
50512l1 56826t1 44198u1 69454w1 |
Quadratic twists by: -4 -3 -7 -11 |