Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529i |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1395254752264737 = 33 · 77 · 137 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38817,-2321656] |
[a1,a2,a3,a4,a6] |
j |
421875/91 |
j-invariant |
L |
1.3813445691884 |
L(r)(E,1)/r! |
Ω |
0.34533614298695 |
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 |
74529j1 10647a1 5733b1 |
Quadratic twists by: -3 -7 13 |