Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340z |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-31215663360 = -1 · 28 · 310 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-7954] |
[a1,a2,a3,a4,a6] |
j |
35969456/167265 |
j-invariant |
L |
3.5472810391983 |
L(r)(E,1)/r! |
Ω |
0.59121350749773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780d1 |
Quadratic twists by: -3 |