Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800cd |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-8480000000000 = -1 · 214 · 510 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -2 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4367,-86863] |
[a1,a2,a3,a4,a6] |
Generators |
[247:4000:1] |
Generators of the group modulo torsion |
j |
35969456/33125 |
j-invariant |
L |
5.3783797742641 |
L(r)(E,1)/r! |
Ω |
0.4025334555685 |
Real period |
R |
3.3403309113089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800o1 21200f1 16960o1 |
Quadratic twists by: -4 8 5 |