Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130s |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
78400 |
Modular degree for the optimal curve |
Δ |
-955573413760 = -1 · 27 · 5 · 79 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 -1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56645,5184577] |
[a1,a2,a3,a4,a6] |
Generators |
[102:635:1] |
Generators of the group modulo torsion |
j |
-498111506983/23680 |
j-invariant |
L |
5.9476375107515 |
L(r)(E,1)/r! |
Ω |
0.83048229277314 |
Real period |
R |
0.5115476325803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650e1 18130n1 |
Quadratic twists by: 5 -7 |