Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600b |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-18576000000 = -1 · 210 · 33 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:46:1] |
Generators of the group modulo torsion |
j |
1431644/1161 |
j-invariant |
L |
4.1197751825319 |
L(r)(E,1)/r! |
Ω |
0.78986430066509 |
Real period |
R |
2.607900609638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800bg1 2064c1 |
Quadratic twists by: -4 5 |