Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bn |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-38912406750000 = -1 · 24 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8167,99588] |
[a1,a2,a3,a4,a6] |
j |
2048000/1323 |
j-invariant |
L |
2.4237788518667 |
L(r)(E,1)/r! |
Ω |
0.40396314197778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800ge1 44100cn1 588b1 2100c1 |
Quadratic twists by: -4 -3 5 -7 |