Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bt |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
765498517074247680 = 215 · 38 · 5 · 193 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229658,-4685479] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:6031:1] |
Generators of the group modulo torsion |
j |
1837549919778655321/1050066552913920 |
j-invariant |
L |
10.351607829011 |
L(r)(E,1)/r! |
Ω |
0.23620921137352 |
Real period |
R |
1.4607965206628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005142 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26790n2 |
Quadratic twists by: -3 |