Atkin-Lehner |
3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2211c |
Isogeny class |
Conductor |
2211 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-2211 = -1 · 3 · 11 · 67 |
Discriminant |
Eigenvalues |
2 3+ -3 3 11+ -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[58:117:8] |
Generators of the group modulo torsion |
j |
-207474688/2211 |
j-invariant |
L |
4.5543996728602 |
L(r)(E,1)/r! |
Ω |
1.2729859395661 |
Real period |
R |
3.5777297543543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35376bj1 6633h1 55275m1 108339m1 |
Quadratic twists by: -4 -3 5 -7 |