Atkin-Lehner |
2+ 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39672d |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-1752151002915312 = -1 · 24 · 321 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -5 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177145923,-907496285065] |
[a1,a2,a3,a4,a6] |
j |
-52707168473774069565112576/150218707383 |
j-invariant |
L |
4.1382503867313 |
L(r)(E,1)/r! |
Ω |
0.020691251932936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344n1 13224f1 |
Quadratic twists by: -4 -3 |