Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640cp |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-5039390720000 = -1 · 219 · 54 · 7 · 133 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 5 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1920,102400] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:130:1] [0:320:1] |
Generators of the group modulo torsion |
j |
86938307/560000 |
j-invariant |
L |
9.9616599713657 |
L(r)(E,1)/r! |
Ω |
0.55662027932681 |
Real period |
R |
0.55927152797063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830z1 94640cg1 |
Quadratic twists by: -4 13 |