Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210k |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-1723181040 = -1 · 24 · 38 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-189,-2187] |
[a1,a2,a3,a4,a6] |
Generators |
[39:201:1] |
Generators of the group modulo torsion |
j |
-1027243729/2363760 |
j-invariant |
L |
4.3453461288325 |
L(r)(E,1)/r! |
Ω |
0.60151998569954 |
Real period |
R |
1.805985766116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070j1 |
Quadratic twists by: -3 |