Atkin-Lehner |
3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235bk |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1056804203195296875 = -1 · 38 · 56 · 117 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131792,52810134] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:-8109:1] [-208:8541:1] |
Generators of the group modulo torsion |
j |
-196021690129/818296875 |
j-invariant |
L |
7.6810518271775 |
L(r)(E,1)/r! |
Ω |
0.2408928470822 |
Real period |
R |
0.66428669435181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41745i2 11385m2 |
Quadratic twists by: -3 -11 |