Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360i |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
150003149045760 = 217 · 34 · 5 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71361,-7289919] |
[a1,a2,a3,a4,a6] |
Generators |
[495:-8856:1] [323:1804:1] |
Generators of the group modulo torsion |
j |
306621535079522/1144433205 |
j-invariant |
L |
6.6639675441051 |
L(r)(E,1)/r! |
Ω |
0.29216709597393 |
Real period |
R |
5.7021886070794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360ct4 4920j3 118080ch4 |
Quadratic twists by: -4 8 -3 |