Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560x |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
93388800 = 216 · 3 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-496,-4396] |
[a1,a2,a3,a4,a6] |
j |
3301293169/22800 |
j-invariant |
L |
2.0237969908738 |
L(r)(E,1)/r! |
Ω |
1.0118984954369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570g1 18240cb1 13680br1 22800ca1 |
Quadratic twists by: -4 8 -3 5 |