Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928de |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-157151232 = -1 · 212 · 33 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] [13:49:1] |
Generators of the group modulo torsion |
j |
216000/1421 |
j-invariant |
L |
12.112911290199 |
L(r)(E,1)/r! |
Ω |
0.90916290626259 |
Real period |
R |
3.3307868166338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cu1 58464e1 116928cz1 |
Quadratic twists by: -4 8 -3 |