Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840cp |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46503936000000 = 217 · 33 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9441,-127359] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:304:1] |
Generators of the group modulo torsion |
j |
710090624882/354796875 |
j-invariant |
L |
3.9726283111605 |
L(r)(E,1)/r! |
Ω |
0.51012195747269 |
Real period |
R |
3.8938025044465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840br2 6960q2 83520fw2 |
Quadratic twists by: -4 8 -3 |