Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cx |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3717539273270034432 = 216 · 37 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-454476,-72811024] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:520:1] |
Generators of the group modulo torsion |
j |
122657188/43923 |
j-invariant |
L |
4.3267745632806 |
L(r)(E,1)/r! |
Ω |
0.18933587073178 |
Real period |
R |
5.7130940731346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696gq3 8712j3 23232q3 6336q4 |
Quadratic twists by: -4 8 -3 -11 |