Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14700bo |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
52920 |
Modular degree for the optimal curve |
Δ |
-224135462880000 = -1 · 28 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45733,3817463] |
[a1,a2,a3,a4,a6] |
j |
-11468800/243 |
j-invariant |
L |
2.7964695249284 |
L(r)(E,1)/r! |
Ω |
0.55929390498568 |
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 |
58800go1 44100cr1 14700a1 14700r1 |
Quadratic twists by: -4 -3 5 -7 |