Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749d |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
830862109 = 7 · 116 · 67 |
Discriminant |
Eigenvalues |
1 -3 1 7- 11- -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1414,-20069] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1621:1] |
Generators of the group modulo torsion |
j |
176558481/469 |
j-invariant |
L |
4.2402196740634 |
L(r)(E,1)/r! |
Ω |
0.77864973644392 |
Real period |
R |
2.7228029983506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
469b1 |
Quadratic twists by: -11 |