Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860c |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3730033476000000 = -1 · 28 · 38 · 56 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140943,-20577242] |
[a1,a2,a3,a4,a6] |
Generators |
[33277642:1722995118:12167] |
Generators of the group modulo torsion |
j |
-1659154206306256/19986890625 |
j-invariant |
L |
5.850344978898 |
L(r)(E,1)/r! |
Ω |
0.12311108129487 |
Real period |
R |
11.880216056464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620h2 |
Quadratic twists by: -3 |