Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20445f |
Isogeny class |
Conductor |
20445 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6771568005 = -1 · 36 · 5 · 292 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-740,-8763] |
[a1,a2,a3,a4,a6] |
Generators |
[67:460:1] |
Generators of the group modulo torsion |
j |
-44818317725761/6771568005 |
j-invariant |
L |
4.3035379111712 |
L(r)(E,1)/r! |
Ω |
0.4538911632881 |
Real period |
R |
1.5802385605672 |
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 |
61335c2 102225d2 |
Quadratic twists by: -3 5 |