Atkin-Lehner |
2- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720y |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-514934210560000000 = -1 · 221 · 57 · 75 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159136,-42349836] |
[a1,a2,a3,a4,a6] |
j |
-108810750530528929/125716360000000 |
j-invariant |
L |
1.1440261414751 |
L(r)(E,1)/r! |
Ω |
0.11440262301259 |
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 |
13090k1 |
Quadratic twists by: -4 |