Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696bd |
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] |
j |
202612/729 |
j-invariant |
L |
1.5656653024249 |
L(r)(E,1)/r! |
Ω |
0.097854081218951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696fg2 8712s2 23232c2 69696be2 |
Quadratic twists by: -4 8 -3 -11 |