Atkin-Lehner |
5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6715f |
Isogeny class |
Conductor |
6715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1312 |
Modular degree for the optimal curve |
Δ |
-114155 = -1 · 5 · 172 · 79 |
Discriminant |
Eigenvalues |
-2 -3 5- 1 -1 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
-37933056/114155 |
j-invariant |
L |
1.4020297771423 |
L(r)(E,1)/r! |
Ω |
1.3563818037225 |
Real period |
R |
0.51682711066107 |
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 |
107440ba1 60435b1 33575a1 114155f1 |
Quadratic twists by: -4 -3 5 17 |