Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745u |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47749105078125 = 3 · 58 · 116 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46104,-3799523] |
[a1,a2,a3,a4,a6] |
Generators |
[902594:-11650169:2744] |
Generators of the group modulo torsion |
j |
6117442271569/26953125 |
j-invariant |
L |
5.3283437103639 |
L(r)(E,1)/r! |
Ω |
0.32589759962555 |
Real period |
R |
8.1748741268528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235bv3 345d4 |
Quadratic twists by: -3 -11 |