Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640d |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16260249600 = -1 · 211 · 32 · 52 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,6156] |
[a1,a2,a3,a4,a6] |
j |
-9653618/7939575 |
j-invariant |
L |
2.0001725697672 |
L(r)(E,1)/r! |
Ω |
1.0000862850746 |
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 |
119280l2 |
Quadratic twists by: -4 |