Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6916b |
Isogeny class |
Conductor |
6916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
-464948848 = -1 · 24 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ -2 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257,-1895] |
[a1,a2,a3,a4,a6] |
Generators |
[51:343:1] |
Generators of the group modulo torsion |
j |
-117328386816/29059303 |
j-invariant |
L |
2.5536796685742 |
L(r)(E,1)/r! |
Ω |
0.58851425698988 |
Real period |
R |
0.72319960483646 |
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 |
27664p1 110656g1 62244m1 48412m1 |
Quadratic twists by: -4 8 -3 -7 |