Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
59388b |
Isogeny class |
Conductor |
59388 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3220922896821504 = -1 · 28 · 32 · 712 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9588,-2709720] |
[a1,a2,a3,a4,a6] |
Generators |
[15509491058:3034201912245:405224] |
Generators of the group modulo torsion |
j |
3236192048/106942941 |
j-invariant |
L |
6.171670309584 |
L(r)(E,1)/r! |
Ω |
0.21582237270712 |
Real period |
R |
14.298031831086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8484b2 |
Quadratic twists by: -7 |