Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920z |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-378383892480 = -1 · 220 · 38 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,28658] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:126:1] |
Generators of the group modulo torsion |
j |
13651919/126720 |
j-invariant |
L |
3.8641672501845 |
L(r)(E,1)/r! |
Ω |
0.69826733235504 |
Real period |
R |
2.7669683738117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
990e1 31680dt1 2640q1 39600cx1 |
Quadratic twists by: -4 8 -3 5 |