Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400s |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-5023612300000000 = -1 · 28 · 58 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29967,2754437] |
[a1,a2,a3,a4,a6] |
j |
744010443776/1255903075 |
j-invariant |
L |
1.1813243361854 |
L(r)(E,1)/r! |
Ω |
0.2953311093261 |
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 |
17080b1 |
Quadratic twists by: 5 |