Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600z |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-8962315373909376000 = -1 · 210 · 315 · 53 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30165,144020950] |
[a1,a2,a3,a4,a6] |
j |
32530909324/96046761123 |
j-invariant |
L |
2.9066113064201 |
L(r)(E,1)/r! |
Ω |
0.18166321071808 |
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 |
28200y1 84600bz1 |
Quadratic twists by: -3 5 |