Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280cf |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
507438696960000 = 212 · 32 · 54 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48640,3967988] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:1170:1] |
Generators of the group modulo torsion |
j |
3107086841064961/123886400625 |
j-invariant |
L |
9.084066186748 |
L(r)(E,1)/r! |
Ω |
0.5180022461749 |
Real period |
R |
2.1920914083512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999725 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3705e2 |
Quadratic twists by: -4 |