Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600g |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
19988480000000 = 222 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 6 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8033,-172063] |
[a1,a2,a3,a4,a6] |
Generators |
[-845176:6145623:24389] |
Generators of the group modulo torsion |
j |
13997521/4880 |
j-invariant |
L |
11.57777986595 |
L(r)(E,1)/r! |
Ω |
0.51868916468646 |
Real period |
R |
11.160614743867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600by1 3050a1 19520d1 |
Quadratic twists by: -4 8 5 |