Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614p |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-67453781234438144 = -1 · 212 · 76 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22051,-12430159] |
[a1,a2,a3,a4,a6] |
Generators |
[5790:36893:27] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
14.694682398466 |
L(r)(E,1)/r! |
Ω |
0.16614850408176 |
Real period |
R |
3.6851275709226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
406b2 |
Quadratic twists by: 13 |