Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dz |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1167434730049536000 = 215 · 310 · 53 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129796563,-569171178862] |
[a1,a2,a3,a4,a6] |
Generators |
[5242321:345940470:343] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
3.9339291905919 |
L(r)(E,1)/r! |
Ω |
0.044728440533543 |
Real period |
R |
10.993925787617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998576971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210n8 40560bv7 720j7 |
Quadratic twists by: -4 -3 13 |