Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352d |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17731584 = 212 · 32 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2569,-49271] |
[a1,a2,a3,a4,a6] |
j |
457957438912/4329 |
j-invariant |
L |
1.3411418197086 |
L(r)(E,1)/r! |
Ω |
0.67057087724544 |
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 |
92352u2 46176n1 |
Quadratic twists by: -4 8 |