Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608bg |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
2 |
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 |
[386270465542492398:-7491101229337047435:342382970365912] |
Generators of the group modulo torsion |
j |
123828429385748737/1947 |
j-invariant |
L |
9.9284653618796 |
L(r)(E,1)/r! |
Ω |
0.16721035676006 |
Real period |
R |
29.688547618228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000338486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cl4 1947c3 |
Quadratic twists by: -4 8 |