Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800cm |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2175030000 = -1 · 24 · 32 · 54 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-1263] |
[a1,a2,a3,a4,a6] |
Generators |
[8:39:1] |
Generators of the group modulo torsion |
j |
274400000/217503 |
j-invariant |
L |
4.2590097239654 |
L(r)(E,1)/r! |
Ω |
0.81359575411928 |
Real period |
R |
0.43623319772931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800bf1 |
Quadratic twists by: 5 |