Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200be |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-156149792000000000 = -1 · 214 · 59 · 474 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365500,87150000] |
[a1,a2,a3,a4,a6] |
j |
-168746928912/4879681 |
j-invariant |
L |
1.2922777240108 |
L(r)(E,1)/r! |
Ω |
0.32306942911657 |
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 |
75200dr2 4700g2 75200bq2 |
Quadratic twists by: -4 8 5 |