Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420bn |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
278208 |
Modular degree for the optimal curve |
Δ |
-14456737355760 = -1 · 24 · 36 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4230,-212787] |
[a1,a2,a3,a4,a6] |
j |
-90770176/156735 |
j-invariant |
L |
5.0331296306275 |
L(r)(E,1)/r! |
Ω |
0.27961833953592 |
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 |
126420d1 |
Quadratic twists by: -7 |