Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58464u |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1790050752 = -1 · 26 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135,1944] |
[a1,a2,a3,a4,a6] |
j |
216000/1421 |
j-invariant |
L |
2.1594440386979 |
L(r)(E,1)/r! |
Ω |
1.0797220206833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464q1 116928cz1 58464e1 |
Quadratic twists by: -4 8 -3 |