Atkin-Lehner |
2+ 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210a |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
35456400 = 24 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,1325] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] [-10:55:1] |
Generators of the group modulo torsion |
j |
46772737227/1313200 |
j-invariant |
L |
6.5231749726425 |
L(r)(E,1)/r! |
Ω |
2.0550949024737 |
Real period |
R |
0.79353695111484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42210o1 |
Quadratic twists by: -3 |