Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910g |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14855410251396450 = 2 · 36 · 52 · 174 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122100,-15308650] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:910:1] |
Generators of the group modulo torsion |
j |
276150081914273601/20377791840050 |
j-invariant |
L |
3.5014368092164 |
L(r)(E,1)/r! |
Ω |
0.25659018180778 |
Real period |
R |
1.7057535019959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990g3 |
Quadratic twists by: -3 |