Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560p |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9849600 = 28 · 34 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116,-420] |
[a1,a2,a3,a4,a6] |
Generators |
[13:10:1] |
Generators of the group modulo torsion |
j |
680136784/38475 |
j-invariant |
L |
3.1079085635498 |
L(r)(E,1)/r! |
Ω |
1.4588256866124 |
Real period |
R |
2.1304180424509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1140b2 18240cp2 13680bt2 22800dg2 |
Quadratic twists by: -4 8 -3 5 |