Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bq |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-6500113920 = -1 · 29 · 310 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,-2882] |
[a1,a2,a3,a4,a6] |
Generators |
[17:90:1] |
Generators of the group modulo torsion |
j |
13481272/17415 |
j-invariant |
L |
4.635664183863 |
L(r)(E,1)/r! |
Ω |
0.71368813586069 |
Real period |
R |
1.6238409855923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61920bs1 123840gh1 20640k1 |
Quadratic twists by: -4 8 -3 |