Atkin-Lehner |
2+ 3- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170d |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
220890492959760 = 24 · 36 · 5 · 135 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-346875,-78543595] |
[a1,a2,a3,a4,a6] |
Generators |
[23378:3561573:1] |
Generators of the group modulo torsion |
j |
6331635267505550001/303004791440 |
j-invariant |
L |
3.690871273414 |
L(r)(E,1)/r! |
Ω |
0.19672406638985 |
Real period |
R |
9.3808332650566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998411206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13130h1 |
Quadratic twists by: -3 |