Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4026b |
Isogeny class |
Conductor |
4026 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
58320 |
Modular degree for the optimal curve |
Δ |
-2178096890821632 = -1 · 210 · 39 · 116 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10816,2204174] |
[a1,a2,a3,a4,a6] |
j |
139952759660884871/2178096890821632 |
j-invariant |
L |
3.0947346905154 |
L(r)(E,1)/r! |
Ω |
0.34385941005726 |
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 |
32208k1 128832k1 12078v1 100650bl1 |
Quadratic twists by: -4 8 -3 5 |