Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6944d |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3444224 = 29 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64,156] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
57512456/6727 |
j-invariant |
L |
2.4969513332868 |
L(r)(E,1)/r! |
Ω |
2.4220705474879 |
Real period |
R |
2.0618320435601 |
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 |
6944f2 13888l2 62496bz2 48608d2 |
Quadratic twists by: -4 8 -3 -7 |