Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12152f |
Isogeny class |
Conductor |
12152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
810419018752 = 210 · 77 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -6 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6811,211974] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:588:1] [-21:588:1] |
Generators of the group modulo torsion |
j |
290046852/6727 |
j-invariant |
L |
5.5862982779655 |
L(r)(E,1)/r! |
Ω |
0.89237890867474 |
Real period |
R |
1.5650017676521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24304b2 97216r2 109368w2 1736c2 |
Quadratic twists by: -4 8 -3 -7 |