Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696em |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.0242001342955E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5658444,5614796880] |
[a1,a2,a3,a4,a6] |
Generators |
[117169:160142705:2197] |
Generators of the group modulo torsion |
j |
-17535471192/1771561 |
j-invariant |
L |
7.4251328595237 |
L(r)(E,1)/r! |
Ω |
0.14361080666363 |
Real period |
R |
12.925790598861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696el2 34848g2 69696eq2 6336bj2 |
Quadratic twists by: -4 8 -3 -11 |