Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600ck |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-124000000000000 = -1 · 214 · 512 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12367,86863] |
[a1,a2,a3,a4,a6] |
Generators |
[13:500:1] |
Generators of the group modulo torsion |
j |
817036976/484375 |
j-invariant |
L |
3.5705527134882 |
L(r)(E,1)/r! |
Ω |
0.35823543375509 |
Real period |
R |
2.4917640586952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600k2 12400h2 9920bj2 |
Quadratic twists by: -4 8 5 |