Atkin-Lehner |
7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39347a |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-24668661496787 = -1 · 78 · 11 · 733 |
Discriminant |
Eigenvalues |
0 0 2 7+ 11+ 5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9604,-433981] |
[a1,a2,a3,a4,a6] |
Generators |
[1410207884867:-18510573866236:6300872423] |
Generators of the group modulo torsion |
j |
-16994009088/4279187 |
j-invariant |
L |
4.9230338853092 |
L(r)(E,1)/r! |
Ω |
0.23798237167658 |
Real period |
R |
20.686548548224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39347d1 |
Quadratic twists by: -7 |