Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cl |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
510394368 = 218 · 3 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-664577,208750497] |
[a1,a2,a3,a4,a6] |
Generators |
[453:672:1] |
Generators of the group modulo torsion |
j |
123828429385748737/1947 |
j-invariant |
L |
6.2535269123207 |
L(r)(E,1)/r! |
Ω |
0.84583719529014 |
Real period |
R |
1.8483246055506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000709629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bg4 31152z4 |
Quadratic twists by: -4 8 |