Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696fg |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.2123822127693E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,590964,399406480] |
[a1,a2,a3,a4,a6] |
Generators |
[-2976:492652:27] |
Generators of the group modulo torsion |
j |
202612/729 |
j-invariant |
L |
4.6803995807085 |
L(r)(E,1)/r! |
Ω |
0.13657585236945 |
Real period |
R |
8.5673995439824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696bd2 17424j2 23232di2 69696ff2 |
Quadratic twists by: -4 8 -3 -11 |