Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960t |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
172889640000 = 26 · 36 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1526,-11760] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:84:1] |
Generators of the group modulo torsion |
j |
6144575778496/2701400625 |
j-invariant |
L |
6.7920382266233 |
L(r)(E,1)/r! |
Ω |
0.79533682304017 |
Real period |
R |
1.4233043640262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960g1 73920gc2 110880dz1 |
Quadratic twists by: -4 8 -3 |