Atkin-Lehner |
2+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26350c |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1646875000000 = 26 · 511 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 0 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4417,95741] |
[a1,a2,a3,a4,a6] |
j |
610015948641/105400000 |
j-invariant |
L |
3.2130713888411 |
L(r)(E,1)/r! |
Ω |
0.80326784721024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270f1 |
Quadratic twists by: 5 |