Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520g |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
11617344000 = 29 · 37 · 53 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988003,1988015002] |
[a1,a2,a3,a4,a6] |
j |
7904407296407904008/31125 |
j-invariant |
L |
1.2123446645004 |
L(r)(E,1)/r! |
Ω |
0.60617237863585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520i4 39840n4 |
Quadratic twists by: -4 -3 |