Atkin-Lehner |
2- 3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210w |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-135097393536000 = -1 · 210 · 38 · 53 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12542,780941] |
[a1,a2,a3,a4,a6] |
Generators |
[201:-2621:1] |
Generators of the group modulo torsion |
j |
-299270638153369/185318784000 |
j-invariant |
L |
10.333639790157 |
L(r)(E,1)/r! |
Ω |
0.53986677525352 |
Real period |
R |
0.15950910273658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070c1 |
Quadratic twists by: -3 |