Atkin-Lehner |
2+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111800c |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-15999027200 = -1 · 211 · 52 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,-6352] |
[a1,a2,a3,a4,a6] |
Generators |
[633:962:27] |
Generators of the group modulo torsion |
j |
-33079490/312481 |
j-invariant |
L |
9.5155535618341 |
L(r)(E,1)/r! |
Ω |
0.5249676973476 |
Real period |
R |
4.5314947946399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111800r1 |
Quadratic twists by: 5 |