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 |
-7.574186830635E+25 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87353837178,-9937368906239516] |
[a1,a2,a3,a4,a6] |
Generators |
[1850189940:-2927515259962:729] |
Generators of the group modulo torsion |
j |
-15272479788155933667677058147625/15691913292270272512 |
j-invariant |
L |
5.7156408290346 |
L(r)(E,1)/r! |
Ω |
0.0043908546633372 |
Real period |
R |
7.2317493053094 |
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 |
5278c3 |
Quadratic twists by: 13 |