Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bn |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
131774087857112064 = 210 · 316 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135651,-8047730] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:3344:1] |
Generators of the group modulo torsion |
j |
369798568933252/176523501609 |
j-invariant |
L |
3.6452388052041 |
L(r)(E,1)/r! |
Ω |
0.26077450836387 |
Real period |
R |
3.4946272560573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999636535 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496o2 |
Quadratic twists by: -3 |