Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920x |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-156958556160 = -1 · 215 · 3 · 5 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1344,1536] |
[a1,a2,a3,a4,a6] |
Generators |
[80:784:1] |
Generators of the group modulo torsion |
j |
65499561791/38319960 |
j-invariant |
L |
4.6404609248316 |
L(r)(E,1)/r! |
Ω |
0.62042802753155 |
Real period |
R |
0.37397254144805 |
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 |
3990x1 127680gn1 95760fa1 |
Quadratic twists by: -4 8 -3 |