Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ca |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
493575515507812500 = 22 · 36 · 510 · 7 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1125117,458387041] |
[a1,a2,a3,a4,a6] |
Generators |
[300:569983:27] |
Generators of the group modulo torsion |
j |
22125312720025/69330772 |
j-invariant |
L |
5.1282463948621 |
L(r)(E,1)/r! |
Ω |
0.29567406179364 |
Real period |
R |
8.6721276184267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650y2 59850ft1 |
Quadratic twists by: -3 5 |