Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825be |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2577272940703125 = 36 · 57 · 72 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-298505,62800372] |
[a1,a2,a3,a4,a6] |
Generators |
[329:185:1] |
Generators of the group modulo torsion |
j |
258243633650241/226262645 |
j-invariant |
L |
4.1474987946086 |
L(r)(E,1)/r! |
Ω |
0.45340632645315 |
Real period |
R |
2.2868553837033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5425e3 9765b4 |
Quadratic twists by: -3 5 |