Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dr |
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 |
3.4890735486331 |
L(r)(E,1)/r! |
Ω |
0.096918710054222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75200be2 18800bn2 75200dc2 |
Quadratic twists by: -4 8 5 |