Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
37920k |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-5991360 = -1 · 26 · 3 · 5 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6,120] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [4:12:1] |
Generators of the group modulo torsion |
j |
-438976/93615 |
j-invariant |
L |
6.2966945474242 |
L(r)(E,1)/r! |
Ω |
1.9512754322959 |
Real period |
R |
3.226963473842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37920p1 75840cq2 113760r1 |
Quadratic twists by: -4 8 -3 |