Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bx |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
107208769536 = 218 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6924,-221200] |
[a1,a2,a3,a4,a6] |
Generators |
[40900:1024695:64] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
8.5915364192653 |
L(r)(E,1)/r! |
Ω |
0.5234636493503 |
Real period |
R |
8.2064308007607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712di1 1683e1 35904k1 |
Quadratic twists by: -4 8 -3 |