Atkin-Lehner |
7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62699i |
Isogeny class |
Conductor |
62699 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
358018503331853 = 72 · 1310 · 53 |
Discriminant |
Eigenvalues |
1 -2 0 7- 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43606,3380847] |
[a1,a2,a3,a4,a6] |
Generators |
[1275:44316:1] |
Generators of the group modulo torsion |
j |
1899713166625/74172917 |
j-invariant |
L |
4.9069556064666 |
L(r)(E,1)/r! |
Ω |
0.53346007454856 |
Real period |
R |
4.5991779336034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4823a2 |
Quadratic twists by: 13 |