Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600bt |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1618556709600000000 = 211 · 316 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360075,56299750] |
[a1,a2,a3,a4,a6] |
j |
221322268802/69382575 |
j-invariant |
L |
3.948990240865 |
L(r)(E,1)/r! |
Ω |
0.24681188820277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28200j2 16920d2 |
Quadratic twists by: -3 5 |