Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560i |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-74574950400 = -1 · 212 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,972,6048] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:64:1] [4:100:1] |
Generators of the group modulo torsion |
j |
1259712/925 |
j-invariant |
L |
10.548449686467 |
L(r)(E,1)/r! |
Ω |
0.69482713472095 |
Real period |
R |
3.7953503681782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560h1 53280ba1 106560u1 |
Quadratic twists by: -4 8 -3 |