Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31168664862720 = 215 · 3 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10241,-291519] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:276:1] [-32:49:1] |
Generators of the group modulo torsion |
j |
3625294417928/951192165 |
j-invariant |
L |
8.6138375157237 |
L(r)(E,1)/r! |
Ω |
0.48382971712114 |
Real period |
R |
4.4508621582124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gl4 36960bw3 |
Quadratic twists by: -4 8 |