Atkin-Lehner |
3+ 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005f |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20020005 = -1 · 32 · 5 · 232 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15,210] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] |
Generators of the group modulo torsion |
j |
-374805361/20020005 |
j-invariant |
L |
2.0262825754917 |
L(r)(E,1)/r! |
Ω |
1.7916380046751 |
Real period |
R |
0.56548325337046 |
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 |
30015e2 50025u2 |
Quadratic twists by: -3 5 |