Atkin-Lehner |
2+ 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880f |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-437615360 = -1 · 28 · 5 · 7 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,113,-894] |
[a1,a2,a3,a4,a6] |
Generators |
[31:180:1] |
Generators of the group modulo torsion |
j |
623331504/1709435 |
j-invariant |
L |
5.0600061550003 |
L(r)(E,1)/r! |
Ω |
0.86017232857557 |
Real period |
R |
2.9412746648044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760p2 |
Quadratic twists by: -4 |