Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55660f |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-4560949696569200 = -1 · 24 · 52 · 116 · 235 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 11- 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8833,-3264943] |
[a1,a2,a3,a4,a6] |
Generators |
[6897:90145:27] |
Generators of the group modulo torsion |
j |
-2688885504/160908575 |
j-invariant |
L |
10.144338624886 |
L(r)(E,1)/r! |
Ω |
0.19131137499362 |
Real period |
R |
4.4187730713813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
460b1 |
Quadratic twists by: -11 |