Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600ba |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
163620000000 = 28 · 34 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3908,-93312] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:42:1] |
Generators of the group modulo torsion |
j |
1650587344/40905 |
j-invariant |
L |
8.4121966775005 |
L(r)(E,1)/r! |
Ω |
0.60472482128839 |
Real period |
R |
1.7388480638888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200e1 12120a1 |
Quadratic twists by: -4 5 |