Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970m |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4304005002410793750 = 2 · 310 · 55 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102890160,-401680783134] |
[a1,a2,a3,a4,a6] |
Generators |
[155388716419350:23028069880251543:5851461608] |
Generators of the group modulo torsion |
j |
4094825072359618423/146306250 |
j-invariant |
L |
4.3956549912002 |
L(r)(E,1)/r! |
Ω |
0.047403029139713 |
Real period |
R |
23.182352857222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ce2 74970bv2 |
Quadratic twists by: -3 -7 |