Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27060b |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
11075184450000 = 24 · 32 · 55 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7721,-203730] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:228:1] |
Generators of the group modulo torsion |
j |
3181856828145664/692199028125 |
j-invariant |
L |
3.8919323610544 |
L(r)(E,1)/r! |
Ω |
0.5171805823788 |
Real period |
R |
3.762643546238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240bv1 81180p1 |
Quadratic twists by: -4 -3 |