Atkin-Lehner |
2- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352p |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-160188266549149696 = -1 · 216 · 112 · 134 · 294 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117829,11333610] |
[a1,a2,a3,a4,a6] |
Generators |
[1418:55042:1] |
Generators of the group modulo torsion |
j |
44169282026472303/39108463512976 |
j-invariant |
L |
2.4778928658742 |
L(r)(E,1)/r! |
Ω |
0.21070577623512 |
Real period |
R |
2.9399916197767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001594 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8294e4 |
Quadratic twists by: -4 |