Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176i |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-1244128816 = -1 · 24 · 72 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,214,1195] |
[a1,a2,a3,a4,a6] |
j |
67739977728/77758051 |
j-invariant |
L |
2.0439767705787 |
L(r)(E,1)/r! |
Ω |
1.0219883852956 |
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 |
18088e1 |
Quadratic twists by: -4 |