Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560co |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2871368637120 = -1 · 26 · 311 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7084992,7258671794] |
[a1,a2,a3,a4,a6] |
Generators |
[180836215:2492307:117649] |
Generators of the group modulo torsion |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
8.4741193405092 |
L(r)(E,1)/r! |
Ω |
0.44548722796934 |
Real period |
R |
9.5110687744097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fr2 1665c2 35520b2 |
Quadratic twists by: -4 8 -3 |