Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645g |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1029432183837890625 = -1 · 36 · 514 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 0 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-533880,-157748675] |
[a1,a2,a3,a4,a6] |
Generators |
[325292748:3542408603:357911] |
Generators of the group modulo torsion |
j |
-23084878694065706881/1412115478515625 |
j-invariant |
L |
4.4471611235472 |
L(r)(E,1)/r! |
Ω |
0.087998040810243 |
Real period |
R |
12.634261747761 |
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 |
2405c2 108225s2 |
Quadratic twists by: -3 5 |