Atkin-Lehner |
2+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550c |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-4809491120000000 = -1 · 210 · 57 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179901,29543448] |
[a1,a2,a3,a4,a6] |
j |
-41209841879252929/307807431680 |
j-invariant |
L |
1.742154760667 |
L(r)(E,1)/r! |
Ω |
0.43553869016683 |
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 |
5110e1 |
Quadratic twists by: 5 |