Atkin-Lehner |
5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
6715d |
Isogeny class |
Conductor |
6715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1940635 = -1 · 5 · 173 · 79 |
Discriminant |
Eigenvalues |
0 -2 5+ -4 -6 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,29,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
2605285376/1940635 |
j-invariant |
L |
0.98114756180794 |
L(r)(E,1)/r! |
Ω |
1.6779093494596 |
Real period |
R |
1.7542322452472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107440p1 60435h1 33575c1 114155h1 |
Quadratic twists by: -4 -3 5 17 |