Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210l |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-5818159233337500 = -1 · 22 · 310 · 55 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20736,-3490452] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1944:1] |
Generators of the group modulo torsion |
j |
1352568769155071/7981014037500 |
j-invariant |
L |
4.9886945271853 |
L(r)(E,1)/r! |
Ω |
0.21345911796638 |
Real period |
R |
1.1685362927379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070k1 |
Quadratic twists by: -3 |