Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710bf |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
Δ |
1.6842561569019E+24 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6144053900,185365716768400] |
[a1,a2,a3,a4,a6] |
Generators |
[44600:-263020:1] |
Generators of the group modulo torsion |
j |
2418792383030053226097637/158824674099200 |
j-invariant |
L |
9.6376211278933 |
L(r)(E,1)/r! |
Ω |
0.063633197099322 |
Real period |
R |
1.9928403662143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99710h2 |
Quadratic twists by: 13 |