Atkin-Lehner |
2+ 3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870f |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2777740076232900 = 22 · 310 · 52 · 234 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41400,-2010164] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:431:1] |
Generators of the group modulo torsion |
j |
10764729170582401/3810343040100 |
j-invariant |
L |
5.6700393286677 |
L(r)(E,1)/r! |
Ω |
0.34446816040405 |
Real period |
R |
2.0575338985844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868662 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28290q2 |
Quadratic twists by: -3 |