Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ex |
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 |
[9:45:1] |
Generators of the group modulo torsion |
j |
-3456000/187 |
j-invariant |
L |
5.4409520448972 |
L(r)(E,1)/r! |
Ω |
1.4422862812474 |
Real period |
R |
1.8862247116214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712bh1 26928l1 11968n1 |
Quadratic twists by: -4 8 -3 |