Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528s |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 4 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-469714,-123907721] |
[a1,a2,a3,a4,a6] |
j |
6088579813251072/22981 |
j-invariant |
L |
0.72945947602744 |
L(r)(E,1)/r! |
Ω |
0.18236486883047 |
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 |
26264o1 7504j1 |
Quadratic twists by: -4 -7 |