Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760v |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-4765680279486000 = -1 · 24 · 310 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13491,3371220] |
[a1,a2,a3,a4,a6] |
Generators |
[144:2106:1] |
Generators of the group modulo torsion |
j |
-420616192/7381125 |
j-invariant |
L |
5.3829082883833 |
L(r)(E,1)/r! |
Ω |
0.36556688613747 |
Real period |
R |
2.9449649257122 |
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 |
5880s1 47040ez1 35280cd1 58800q1 |
Quadratic twists by: -4 8 -3 5 |