Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bo |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-476358400000000 = -1 · 214 · 58 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65075,6475250] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1750:1] |
Generators of the group modulo torsion |
j |
-476196576129/7443100 |
j-invariant |
L |
5.8196844066822 |
L(r)(E,1)/r! |
Ω |
0.52652242609632 |
Real period |
R |
0.69081630166374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850e1 17360p1 |
Quadratic twists by: -4 5 |