Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800cd |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4387500000000 = -1 · 28 · 33 · 511 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1200,99500] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1250:1] |
Generators of the group modulo torsion |
j |
1769472/40625 |
j-invariant |
L |
6.2866643725996 |
L(r)(E,1)/r! |
Ω |
0.58166193398072 |
Real period |
R |
0.6755066823764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11700d1 46800ce1 9360bc1 |
Quadratic twists by: -4 -3 5 |