Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1610g |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
Δ |
478174101507200 = 27 · 52 · 710 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25120,-1116288] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:548:1] |
Generators of the group modulo torsion |
j |
1753007192038126081/478174101507200 |
j-invariant |
L |
3.1616138593851 |
L(r)(E,1)/r! |
Ω |
0.38698913100038 |
Real period |
R |
0.11671106152303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12880w2 51520q2 14490o2 8050b2 |
Quadratic twists by: -4 8 -3 5 |