Atkin-Lehner |
2- 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
125460p |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3684626133444000000 = -1 · 28 · 38 · 56 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4442943,-3605759242] |
[a1,a2,a3,a4,a6] |
Generators |
[47001618022:2437395068500:11697083] |
Generators of the group modulo torsion |
j |
-51971881936430658256/19743581390625 |
j-invariant |
L |
6.186712657188 |
L(r)(E,1)/r! |
Ω |
0.051992652815883 |
Real period |
R |
14.874007195832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998711384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41820b2 |
Quadratic twists by: -3 |