Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745z |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2417298444580078125 = 35 · 512 · 116 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3646156,-2679050989] |
[a1,a2,a3,a4,a6] |
Generators |
[-1090:1271:1] |
Generators of the group modulo torsion |
j |
3026030815665395929/1364501953125 |
j-invariant |
L |
2.7954254346365 |
L(r)(E,1)/r! |
Ω |
0.10925781120062 |
Real period |
R |
2.5585588837233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235br4 345c4 |
Quadratic twists by: -3 -11 |