Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hb |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-4923725798958750000 = -1 · 24 · 314 · 57 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169050,110060125] |
[a1,a2,a3,a4,a6] |
Generators |
[-511:7938:1] [-70:11025:1] |
Generators of the group modulo torsion |
j |
-24918016/229635 |
j-invariant |
L |
10.873241295385 |
L(r)(E,1)/r! |
Ω |
0.20776272434697 |
Real period |
R |
3.2709312178109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400br1 17640bf1 12600ce1 |
Quadratic twists by: -3 5 -7 |