Atkin-Lehner |
2- 3- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870x |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-634169857500 = -1 · 22 · 38 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1957,18407] |
[a1,a2,a3,a4,a6] |
Generators |
[414:3839:8] |
Generators of the group modulo torsion |
j |
1137566234519/869917500 |
j-invariant |
L |
11.945502604882 |
L(r)(E,1)/r! |
Ω |
0.58441736606912 |
Real period |
R |
2.555002487871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290g1 |
Quadratic twists by: -3 |