Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bp |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4134436459499520 = -1 · 212 · 310 · 5 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,-3094112] |
[a1,a2,a3,a4,a6] |
Generators |
[302:4860:1] |
Generators of the group modulo torsion |
j |
-768575296/1384614405 |
j-invariant |
L |
4.1089192272408 |
L(r)(E,1)/r! |
Ω |
0.19852674963166 |
Real period |
R |
2.5871319826075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920o2 123840cy1 20640j4 |
Quadratic twists by: -4 8 -3 |