Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600h |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
118412928000 = 210 · 39 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,22950] |
[a1,a2,a3,a4,a6] |
Generators |
[10:80:1] |
Generators of the group modulo torsion |
j |
237276/47 |
j-invariant |
L |
5.5591437195736 |
L(r)(E,1)/r! |
Ω |
0.9945630078468 |
Real period |
R |
2.7947669862982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84600bi1 84600bh1 |
Quadratic twists by: -3 5 |