Atkin-Lehner |
2- 3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858n |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-22958208 = -1 · 27 · 33 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,71,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] |
Generators of the group modulo torsion |
j |
39547260143/22958208 |
j-invariant |
L |
8.6628813680509 |
L(r)(E,1)/r! |
Ω |
1.2678154627274 |
Real period |
R |
0.32537713295903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574e1 |
Quadratic twists by: -3 |