Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560q |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3299682992156835840 = 219 · 320 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19735096,33751275376] |
[a1,a2,a3,a4,a6] |
Generators |
[69870:52858:27] |
Generators of the group modulo torsion |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
2.5780248806373 |
L(r)(E,1)/r! |
Ω |
0.22078605711871 |
Real period |
R |
5.8382873318201 |
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 |
570d3 18240cq4 13680bx3 22800dj4 |
Quadratic twists by: -4 8 -3 5 |