Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800cx |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-11645337600000000 = -1 · 220 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53925,1930250] |
[a1,a2,a3,a4,a6] |
Generators |
[55:2250:1] |
Generators of the group modulo torsion |
j |
371694959/249600 |
j-invariant |
L |
5.7577867854765 |
L(r)(E,1)/r! |
Ω |
0.25301265311636 |
Real period |
R |
1.4223070255896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850bm1 15600z1 9360bn1 |
Quadratic twists by: -4 -3 5 |