Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696bp |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13311501304026816 = -1 · 26 · 36 · 1111 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45012,-6657662] |
[a1,a2,a3,a4,a6] |
Generators |
[77230525465416345:573422595367828063:266530481538875] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
8.0655993339613 |
L(r)(E,1)/r! |
Ω |
0.15622886562861 |
Real period |
R |
25.813409389834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696fw2 1089j2 7744f2 6336y2 |
Quadratic twists by: -4 8 -3 -11 |