Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525m |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
326231328515625 = 34 · 58 · 134 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1204126,-508675477] |
[a1,a2,a3,a4,a6] |
Generators |
[35091363:644983124:24389] |
Generators of the group modulo torsion |
j |
12357168524759082961/20878805025 |
j-invariant |
L |
6.8930420426508 |
L(r)(E,1)/r! |
Ω |
0.14412245734926 |
Real period |
R |
11.956918736728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55575m4 3705e3 |
Quadratic twists by: -3 5 |