Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280x |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
126508262400 = 210 · 34 · 52 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3320,-72732] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:42:1] |
Generators of the group modulo torsion |
j |
3953382282724/123543225 |
j-invariant |
L |
9.4463808779925 |
L(r)(E,1)/r! |
Ω |
0.63013708582266 |
Real period |
R |
1.8738741717224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998438 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29640p2 |
Quadratic twists by: -4 |