Atkin-Lehner |
2+ 3+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010f |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-19068676248960000 = -1 · 210 · 39 · 54 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30039,6946973] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:2994:1] |
Generators of the group modulo torsion |
j |
-152298969481827/968789120000 |
j-invariant |
L |
5.3348058931888 |
L(r)(E,1)/r! |
Ω |
0.33294393238535 |
Real period |
R |
2.0028919941827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010bb1 |
Quadratic twists by: -3 |