Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16016k |
Isogeny class |
Conductor |
16016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-45146157056 = -1 · 212 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 11+ 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3184,-69904] |
[a1,a2,a3,a4,a6] |
Generators |
[2091:10387:27] |
Generators of the group modulo torsion |
j |
-871531204608/11022011 |
j-invariant |
L |
7.1333973977225 |
L(r)(E,1)/r! |
Ω |
0.31754067017314 |
Real period |
R |
5.6161289464378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1001c1 64064bp1 112112bi1 |
Quadratic twists by: -4 8 -7 |