Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928di |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-831644319744 = -1 · 214 · 36 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,47504] |
[a1,a2,a3,a4,a6] |
Generators |
[32:196:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
4.4395288932875 |
L(r)(E,1)/r! |
Ω |
0.78184933457048 |
Real period |
R |
1.4195602270874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928by1 29232bd1 12992ba1 |
Quadratic twists by: -4 8 -3 |