Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111012f |
Isogeny class |
Conductor |
111012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-2579030784 = -1 · 28 · 32 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309,-3321] |
[a1,a2,a3,a4,a6] |
Generators |
[195510:746433:6859] |
Generators of the group modulo torsion |
j |
-15204352/11979 |
j-invariant |
L |
9.9428006634574 |
L(r)(E,1)/r! |
Ω |
0.55056335587915 |
Real period |
R |
9.0296607265331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111012d1 |
Quadratic twists by: 29 |