Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200dx |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18473508864000 = 216 · 33 · 53 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19035,989450] |
[a1,a2,a3,a4,a6] |
Generators |
[55:330:1] |
Generators of the group modulo torsion |
j |
55175798943/1336336 |
j-invariant |
L |
6.4999598182649 |
L(r)(E,1)/r! |
Ω |
0.6873685799195 |
Real period |
R |
2.3640736601664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650bp2 61200ee2 61200ef2 |
Quadratic twists by: -4 -3 5 |