Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570y |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1365475320 = -1 · 23 · 38 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,897] |
[a1,a2,a3,a4,a6] |
Generators |
[17:90:1] |
Generators of the group modulo torsion |
j |
2294744759/1873080 |
j-invariant |
L |
7.0022026396246 |
L(r)(E,1)/r! |
Ω |
0.98253060415294 |
Real period |
R |
0.59389181789137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190f1 |
Quadratic twists by: -3 |