Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800br |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
116800000000000 = 215 · 511 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -5 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100033,-12199937] |
[a1,a2,a3,a4,a6] |
j |
216216072008/228125 |
j-invariant |
L |
2.1477359247976 |
L(r)(E,1)/r! |
Ω |
0.26846698207125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bu1 58400n1 23360u1 |
Quadratic twists by: -4 8 5 |