Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591d |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.2346291748676E+25 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11+ 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-519314357,4560859139950] |
[a1,a2,a3,a4,a6] |
Generators |
[13042:-85240:1] |
Generators of the group modulo torsion |
j |
-333725383137067137/481481944321 |
j-invariant |
L |
2.5809426535172 |
L(r)(E,1)/r! |
Ω |
0.067693642535963 |
Real period |
R |
1.1914628201104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129591c2 129591a2 |
Quadratic twists by: -3 -11 |