Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ek |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-451980000000 = -1 · 28 · 36 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22800,1325500] |
[a1,a2,a3,a4,a6] |
Generators |
[90:50:1] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
5.1322651354199 |
L(r)(E,1)/r! |
Ω |
0.92012029266958 |
Real period |
R |
0.69722746439279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900m1 12400m1 22320bx1 |
Quadratic twists by: -4 -3 5 |