Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614q |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-1.4030990587959E+28 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1052348723,-14322538444319] |
[a1,a2,a3,a4,a6] |
Generators |
[33960798:4462298353:729] |
Generators of the group modulo torsion |
j |
-26701928796840435884733625/2906887467053130416128 |
j-invariant |
L |
5.7156408290346 |
L(r)(E,1)/r! |
Ω |
0.013172563990012 |
Real period |
R |
2.4105831016757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278c2 |
Quadratic twists by: 13 |