Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dg |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8782450790400 = -1 · 212 · 36 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,142688] |
[a1,a2,a3,a4,a6] |
j |
-64/25 |
j-invariant |
L |
2.3793194658386 |
L(r)(E,1)/r! |
Ω |
0.59482986199009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560ba2 7840n2 1440m2 |
Quadratic twists by: -4 -3 -7 |