Atkin-Lehner |
2- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89300f |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-12624876800 = -1 · 28 · 52 · 19 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -3 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508,-6808] |
[a1,a2,a3,a4,a6] |
Generators |
[38340614:479568113:238328] |
Generators of the group modulo torsion |
j |
-2269810000/1972637 |
j-invariant |
L |
6.5085332487454 |
L(r)(E,1)/r! |
Ω |
0.48506323679662 |
Real period |
R |
13.417906697094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89300l1 |
Quadratic twists by: 5 |