Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550cz |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-323751224160000000 = -1 · 211 · 33 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,110224,23483198] |
[a1,a2,a3,a4,a6] |
j |
1644195791/3594240 |
j-invariant |
L |
2.5407429755877 |
L(r)(E,1)/r! |
Ω |
0.21172858884732 |
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 |
19110bn1 95550bj1 |
Quadratic twists by: 5 -7 |