Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400bb |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-73216000 = -1 · 212 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
13824/143 |
j-invariant |
L |
3.5448142582229 |
L(r)(E,1)/r! |
Ω |
1.4280845107789 |
Real period |
R |
0.62055401113161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999227826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400bh1 114400o1 |
Quadratic twists by: -4 5 |