Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760z |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-29054597040 = -1 · 24 · 32 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,229,-8016] |
[a1,a2,a3,a4,a6] |
Generators |
[20604:569654:27] |
Generators of the group modulo torsion |
j |
2048/45 |
j-invariant |
L |
5.0648238786922 |
L(r)(E,1)/r! |
Ω |
0.57225064337547 |
Real period |
R |
8.8507089285508 |
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 |
5880d1 47040fj1 35280cp1 58800bh1 |
Quadratic twists by: -4 8 -3 5 |