Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210s |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-635950732693500 = -1 · 22 · 318 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29048,-2251753] |
[a1,a2,a3,a4,a6] |
Generators |
[82086132:842914313:314432] |
Generators of the group modulo torsion |
j |
-3718183976571961/872360401500 |
j-invariant |
L |
8.8580583118433 |
L(r)(E,1)/r! |
Ω |
0.18060301528585 |
Real period |
R |
12.261780759619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070e1 |
Quadratic twists by: -3 |