Atkin-Lehner |
3+ 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20085d |
Isogeny class |
Conductor |
20085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10085180625 = 32 · 54 · 132 · 1032 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2097,35784] |
[a1,a2,a3,a4,a6] |
Generators |
[8:136:1] |
Generators of the group modulo torsion |
j |
1020569444121241/10085180625 |
j-invariant |
L |
6.0423784999997 |
L(r)(E,1)/r! |
Ω |
1.2939184174338 |
Real period |
R |
2.334914790062 |
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 |
60255d2 100425i2 |
Quadratic twists by: -3 5 |