Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826l |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1010688 |
Modular degree for the optimal curve |
Δ |
-19652618665525248 = -1 · 216 · 34 · 137 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127092,18687346] |
[a1,a2,a3,a4,a6] |
Generators |
[92:2742:1] |
Generators of the group modulo torsion |
j |
-47034153084673/4071555072 |
j-invariant |
L |
3.4899309329386 |
L(r)(E,1)/r! |
Ω |
0.3770535368357 |
Real period |
R |
2.3139492089713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602f1 |
Quadratic twists by: 13 |