Atkin-Lehner |
2- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4862d |
Isogeny class |
Conductor |
4862 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
247520 |
Modular degree for the optimal curve |
Δ |
-3.8280240796599E+20 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11+ 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10730944,-13560247581] |
[a1,a2,a3,a4,a6] |
j |
-136658754931863917899493073/382802407965990977536 |
j-invariant |
L |
1.4178037953726 |
L(r)(E,1)/r! |
Ω |
0.041700111628606 |
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 |
38896j1 43758j1 121550g1 53482e1 |
Quadratic twists by: -4 -3 5 -11 |