Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cc |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
49975296 = 212 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1337,-18375] |
[a1,a2,a3,a4,a6] |
j |
64577729728/12201 |
j-invariant |
L |
1.5789716300598 |
L(r)(E,1)/r! |
Ω |
0.78948623273021 |
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 |
111552ds2 55776h1 |
Quadratic twists by: -4 8 |