Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bp |
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 |
[1:81:1] |
Generators of the group modulo torsion |
j |
524288/1683 |
j-invariant |
L |
3.9570734685147 |
L(r)(E,1)/r! |
Ω |
0.85947129523695 |
Real period |
R |
2.3020393347779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712fc1 6732b1 35904o1 |
Quadratic twists by: -4 8 -3 |