Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400k |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-205578000000000 = -1 · 210 · 37 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -4 -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12792,402912] |
[a1,a2,a3,a4,a6] |
Generators |
[142:2250:1] |
Generators of the group modulo torsion |
j |
115737772/102789 |
j-invariant |
L |
3.3904587581134 |
L(r)(E,1)/r! |
Ω |
0.36709719653514 |
Real period |
R |
2.3089653026802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200n1 56400x1 |
Quadratic twists by: -4 5 |