Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bx |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
64696320 |
Modular degree for the optimal curve |
Δ |
-2.9373816527555E+27 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -6 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351403435,-608920383037] |
[a1,a2,a3,a4,a6] |
Generators |
[211766:97828745:1] |
Generators of the group modulo torsion |
j |
9958490884690134695936/6095540060410757075 |
j-invariant |
L |
7.7690183779493 |
L(r)(E,1)/r! |
Ω |
0.026137019865881 |
Real period |
R |
4.1283602120412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7105c1 16240m1 |
Quadratic twists by: -4 -7 |