Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360a |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2316953600 = 211 · 52 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-2800] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:12:1] |
Generators of the group modulo torsion |
j |
5131452818/1131325 |
j-invariant |
L |
7.3709479046381 |
L(r)(E,1)/r! |
Ω |
1.049184676644 |
Real period |
R |
1.7563514004711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30680a2 |
Quadratic twists by: -4 |