Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326c |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2229424993781568 = 26 · 312 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120402,15949332] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:5382:1] |
Generators of the group modulo torsion |
j |
264788619837198625/3058196150592 |
j-invariant |
L |
2.5414983798744 |
L(r)(E,1)/r! |
Ω |
0.46371425238847 |
Real period |
R |
1.3701856082619 |
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 |
58608bo2 2442i2 80586bg2 |
Quadratic twists by: -4 -3 -11 |