Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
43452h |
Isogeny class |
Conductor |
43452 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-14078448 = -1 · 24 · 36 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 0 1 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,245] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9:1] |
Generators of the group modulo torsion |
j |
-1755904/1207 |
j-invariant |
L |
4.0794598673196 |
L(r)(E,1)/r! |
Ω |
2.0540946651159 |
Real period |
R |
0.99300678215933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4828a1 |
Quadratic twists by: -3 |