Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600cc |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-14889779200 = -1 · 223 · 52 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5473,154143] |
[a1,a2,a3,a4,a6] |
j |
-2766938305/2272 |
j-invariant |
L |
2.4757264584687 |
L(r)(E,1)/r! |
Ω |
1.2378633664455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600bi1 28400l1 113600cu1 |
Quadratic twists by: -4 8 5 |