Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fc |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-20101644288 = -1 · 214 · 38 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,384,-6176] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5337:1] |
Generators of the group modulo torsion |
j |
524288/1683 |
j-invariant |
L |
5.7896355326066 |
L(r)(E,1)/r! |
Ω |
0.62138878965566 |
Real period |
R |
4.6586256708257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712bp1 26928bi1 35904cj1 |
Quadratic twists by: -4 8 -3 |