Atkin-Lehner |
2+ 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990o |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36385957058400 = 25 · 38 · 52 · 174 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126675,-17319339] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:126:1] |
Generators of the group modulo torsion |
j |
308369098524106801/49912149600 |
j-invariant |
L |
2.0237725888022 |
L(r)(E,1)/r! |
Ω |
0.25306430037099 |
Real period |
R |
1.9992671377871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42330bi2 |
Quadratic twists by: -3 |