Atkin-Lehner |
2+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97006a |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7829020551696526 = 2 · 7 · 136 · 415 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2667668,-1678155734] |
[a1,a2,a3,a4,a6] |
Generators |
[-125054805:71066381:132651] |
Generators of the group modulo torsion |
j |
434969885624052241/1621986814 |
j-invariant |
L |
2.3108365116312 |
L(r)(E,1)/r! |
Ω |
0.11813176311158 |
Real period |
R |
9.780758638243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999421085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574j2 |
Quadratic twists by: 13 |