Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400l |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-123117500000000000 = -1 · 211 · 513 · 113 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11+ 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151008,-28147988] |
[a1,a2,a3,a4,a6] |
Generators |
[594938511:4386425000:1225043] |
Generators of the group modulo torsion |
j |
-11900808771122/3847421875 |
j-invariant |
L |
5.4805068378336 |
L(r)(E,1)/r! |
Ω |
0.11913177881656 |
Real period |
R |
11.500933866206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16280e1 |
Quadratic twists by: 5 |