Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800s |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-21647416000 = -1 · 26 · 53 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-418,7668] |
[a1,a2,a3,a4,a6] |
Generators |
[8:70:1] |
Generators of the group modulo torsion |
j |
-1012048064/2705927 |
j-invariant |
L |
3.8209305626435 |
L(r)(E,1)/r! |
Ω |
1.0667413753308 |
Real period |
R |
0.59697859634105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998671006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800q1 128800bg1 |
Quadratic twists by: -4 5 |