Atkin-Lehner |
5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
6715b |
Isogeny class |
Conductor |
6715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1908 |
Modular degree for the optimal curve |
Δ |
-1047707875 = -1 · 53 · 17 · 793 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,79,1560] |
[a1,a2,a3,a4,a6] |
j |
53838872576/1047707875 |
j-invariant |
L |
0.38716591287111 |
L(r)(E,1)/r! |
Ω |
1.1614977386133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107440l1 60435m1 33575f1 114155g1 |
Quadratic twists by: -4 -3 5 17 |