Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696bo |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4956719031026712576 = -1 · 218 · 36 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175692,-110803088] |
[a1,a2,a3,a4,a6] |
Generators |
[74526:20344864:1] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
7.5012186528038 |
L(r)(E,1)/r! |
Ω |
0.10254486976843 |
Real period |
R |
9.143824880619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696fu2 1089f2 7744l2 69696bq1 |
Quadratic twists by: -4 8 -3 -11 |