Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bk |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.4446145233702E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25198992,-46382343584] |
[a1,a2,a3,a4,a6] |
Generators |
[-2511:33743:1] |
Generators of the group modulo torsion |
j |
155355156733986861625/8291568305839392 |
j-invariant |
L |
3.0481777314653 |
L(r)(E,1)/r! |
Ω |
0.067607368026676 |
Real period |
R |
3.757206032002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bo2 2898p2 |
Quadratic twists by: -3 5 |