Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bt |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-136961824734110475 = -1 · 312 · 52 · 117 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6557,17808464] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:2836:1] |
Generators of the group modulo torsion |
j |
-24137569/106051275 |
j-invariant |
L |
5.0834195187391 |
L(r)(E,1)/r! |
Ω |
0.26288046072433 |
Real period |
R |
1.2085863013974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998799148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41745s2 11385n2 |
Quadratic twists by: -3 -11 |