Atkin-Lehner |
2- 3+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236c |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
264149670313872 = 24 · 39 · 7 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18765,606177] |
[a1,a2,a3,a4,a6] |
Generators |
[8868:52245:64] |
Generators of the group modulo torsion |
j |
2320374816000/838762099 |
j-invariant |
L |
6.3384881679183 |
L(r)(E,1)/r! |
Ω |
0.50536042063598 |
Real period |
R |
6.2712549788437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236g1 |
Quadratic twists by: -3 |