Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bh |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-2233516032 = -1 · 214 · 36 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720,-7776] |
[a1,a2,a3,a4,a6] |
Generators |
[889749:2937915:24389] |
Generators of the group modulo torsion |
j |
-3456000/187 |
j-invariant |
L |
8.8105797281736 |
L(r)(E,1)/r! |
Ω |
0.45938037057258 |
Real period |
R |
9.5896345268464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712ex1 13464s1 11968f1 |
Quadratic twists by: -4 8 -3 |