Atkin-Lehner |
2+ 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
11330a |
Isogeny class |
Conductor |
11330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-27418600 = -1 · 23 · 52 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 11+ -3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6:1] |
Generators of the group modulo torsion |
j |
-147951952569/27418600 |
j-invariant |
L |
3.1219690101515 |
L(r)(E,1)/r! |
Ω |
0.7294425005324 |
Real period |
R |
2.1399692284675 |
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 |
90640n1 101970ck1 56650p1 124630o1 |
Quadratic twists by: -4 -3 5 -11 |