Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320g |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2672640 |
Modular degree for the optimal curve |
Δ |
-126232258048146800 = -1 · 24 · 52 · 1110 · 233 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11- 7 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331903,-75556877] |
[a1,a2,a3,a4,a6] |
Generators |
[814:13915:1] |
Generators of the group modulo torsion |
j |
-142653079805184/4453426175 |
j-invariant |
L |
4.1771616313784 |
L(r)(E,1)/r! |
Ω |
0.099270199665963 |
Real period |
R |
1.7532794420529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10120g1 |
Quadratic twists by: -11 |