Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800hz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-210039480000000000 = -1 · 212 · 37 · 510 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124133,-27782637] |
[a1,a2,a3,a4,a6] |
Generators |
[478:4725:1] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
9.0991904486187 |
L(r)(E,1)/r! |
Ω |
0.12226636739345 |
Real period |
R |
1.7719295686159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675c1 11760bu1 58800gf1 |
Quadratic twists by: -4 5 -7 |