Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370u |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
198225100 = 22 · 52 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- -4 6 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-372,-2581] |
[a1,a2,a3,a4,a6] |
Generators |
[29:87:1] |
Generators of the group modulo torsion |
j |
827936019/28900 |
j-invariant |
L |
8.372328501171 |
L(r)(E,1)/r! |
Ω |
1.089646000799 |
Real period |
R |
1.9208826753301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61370i2 |
Quadratic twists by: -19 |