Atkin-Lehner |
2+ 3- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766u |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-77169770496 = -1 · 214 · 36 · 7 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3413,77600] |
[a1,a2,a3,a4,a6] |
Generators |
[51:166:1] |
Generators of the group modulo torsion |
j |
-4394906563811401/77169770496 |
j-invariant |
L |
6.0991291728595 |
L(r)(E,1)/r! |
Ω |
1.0887359148308 |
Real period |
R |
0.46683567381328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298br1 |
Quadratic twists by: -3 |