Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400ce |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-483328000000 = -1 · 219 · 56 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -1 -3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6433,199263] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:575:1] [39:96:1] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
6.7634205612994 |
L(r)(E,1)/r! |
Ω |
0.93485030077164 |
Real period |
R |
0.9043454009709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400v1 23600w1 3776p1 |
Quadratic twists by: -4 8 5 |