Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352b |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1637547245568 = 218 · 33 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9857,374913] |
[a1,a2,a3,a4,a6] |
j |
404075127457/6246747 |
j-invariant |
L |
1.6892529243409 |
L(r)(E,1)/r! |
Ω |
0.84462651940322 |
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 |
92352cf2 1443e2 |
Quadratic twists by: -4 8 |