Atkin-Lehner |
2- 3+ 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126r |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
382464 |
Modular degree for the optimal curve |
Δ |
881582273878698 = 2 · 32 · 7 · 179 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84931,-9454489] |
[a1,a2,a3,a4,a6] |
j |
67752097456207470769/881582273878698 |
j-invariant |
L |
5.0378746896914 |
L(r)(E,1)/r! |
Ω |
0.27988192720642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378u1 |
Quadratic twists by: -3 |