Atkin-Lehner |
2- 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550dt |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-5293050000000 = -1 · 27 · 3 · 58 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -7 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3487,-76983] |
[a1,a2,a3,a4,a6] |
j |
12003606095/13550208 |
j-invariant |
L |
5.7678497431437 |
L(r)(E,1)/r! |
Ω |
0.41198926603236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550n1 |
Quadratic twists by: 5 |