Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560k |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-1796567040 = -1 · 212 · 35 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,304,0] |
[a1,a2,a3,a4,a6] |
j |
756058031/438615 |
j-invariant |
L |
1.7879288898668 |
L(r)(E,1)/r! |
Ω |
0.89396444493341 |
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 |
285a1 18240cv1 13680bl1 22800cz1 |
Quadratic twists by: -4 8 -3 5 |