Atkin-Lehner |
2- 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640l |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8641363307673600 = -1 · 211 · 314 · 52 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258496,50869420] |
[a1,a2,a3,a4,a6] |
j |
-932732095896510338/4219415677575 |
j-invariant |
L |
0.82939250724856 |
L(r)(E,1)/r! |
Ω |
0.41469625389007 |
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 |
119280m2 |
Quadratic twists by: -4 |