Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745m |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25514065811025 = 32 · 52 · 118 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14220,599820] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:915:1] |
Generators of the group modulo torsion |
j |
179501589721/14402025 |
j-invariant |
L |
3.230637074464 |
L(r)(E,1)/r! |
Ω |
0.65512989649875 |
Real period |
R |
2.4656461960666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
125235u2 3795c2 |
Quadratic twists by: -3 -11 |