Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6944d |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-97216 = -1 · 26 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
314432/1519 |
j-invariant |
L |
2.4969513332868 |
L(r)(E,1)/r! |
Ω |
2.4220705474879 |
Real period |
R |
1.03091602178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6944f1 13888l1 62496bz1 48608d1 |
Quadratic twists by: -4 8 -3 -7 |