Atkin-Lehner |
2- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116714f |
Isogeny class |
Conductor |
116714 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4457376 |
Modular degree for the optimal curve |
Δ |
-8.6489166778144E+19 |
Discriminant |
Eigenvalues |
2- 2 0 -3 -4 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,783237,359524745] |
[a1,a2,a3,a4,a6] |
Generators |
[-9159:204698:27] |
Generators of the group modulo torsion |
j |
130859375/212992 |
j-invariant |
L |
13.87089528598 |
L(r)(E,1)/r! |
Ω |
0.13072509881989 |
Real period |
R |
7.5790972153895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116714c1 |
Quadratic twists by: -67 |