Atkin-Lehner |
2- 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544bg |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5008590886772736 = -1 · 213 · 310 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42549,426490] |
[a1,a2,a3,a4,a6] |
j |
2853016666487/1677366954 |
j-invariant |
L |
2.097435340776 |
L(r)(E,1)/r! |
Ω |
0.26217931716631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15318k4 40848j3 |
Quadratic twists by: -4 -3 |