Atkin-Lehner |
2+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
11330f |
Isogeny class |
Conductor |
11330 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1163535709600 = -1 · 25 · 52 · 113 · 1033 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1679,-58398] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1604:1] |
Generators of the group modulo torsion |
j |
-523002686860009/1163535709600 |
j-invariant |
L |
1.9247516352597 |
L(r)(E,1)/r! |
Ω |
0.3489936886323 |
Real period |
R |
2.7575737011215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90640i1 101970cf1 56650t1 124630x1 |
Quadratic twists by: -4 -3 5 -11 |