Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600bp |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20497400000000 = 29 · 58 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47675,4000750] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:2750:1] [85:750:1] |
Generators of the group modulo torsion |
j |
1497979362888/2562175 |
j-invariant |
L |
9.8695042093672 |
L(r)(E,1)/r! |
Ω |
0.68282253866547 |
Real period |
R |
1.8067476632845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600c4 123200bk4 12320c3 |
Quadratic twists by: -4 8 5 |