Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714h |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-226197036 = -1 · 22 · 39 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,144,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
2669927/1836 |
j-invariant |
L |
3.5036668573738 |
L(r)(E,1)/r! |
Ω |
1.0004082297145 |
Real period |
R |
0.43777964250686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17238o1 51714w1 |
Quadratic twists by: -3 13 |