Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bg |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
7.6752166992188E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2465607,-666270556] |
[a1,a2,a3,a4,a6] |
Generators |
[-2846:103025:8] |
Generators of the group modulo torsion |
j |
35529391776305786176/16450653076171875 |
j-invariant |
L |
5.9421264960257 |
L(r)(E,1)/r! |
Ω |
0.12595450564073 |
Real period |
R |
5.8970960048213 |
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 |
31680br1 15840h2 10560g1 |
Quadratic twists by: -4 8 -3 |