Atkin-Lehner |
2+ 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390g |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
9783180000 = 25 · 36 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-645,-3979] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] |
Generators of the group modulo torsion |
j |
40743095121/13420000 |
j-invariant |
L |
2.9227816717661 |
L(r)(E,1)/r! |
Ω |
0.97224101690677 |
Real period |
R |
1.5031158017166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710i1 |
Quadratic twists by: -3 |