Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18880k |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-48332800 = -1 · 215 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 3 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3308,73232] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-8:1] |
Generators of the group modulo torsion |
j |
-122171605128/1475 |
j-invariant |
L |
4.8817481435222 |
L(r)(E,1)/r! |
Ω |
1.8267081811685 |
Real period |
R |
0.33405364043968 |
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 |
18880h1 9440e1 94400cl1 |
Quadratic twists by: -4 8 5 |