Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bl |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50183043750 = 2 · 34 · 55 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-233311,-43473361] |
[a1,a2,a3,a4,a6] |
Generators |
[166928794:9001497597:54872] |
Generators of the group modulo torsion |
j |
4094825072359618423/146306250 |
j-invariant |
L |
6.2060785658447 |
L(r)(E,1)/r! |
Ω |
0.21722796920293 |
Real period |
R |
14.284713401816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970bv2 124950cx2 24990ce2 |
Quadratic twists by: -3 5 -7 |