Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608q |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-76572762559488 = -1 · 210 · 36 · 13 · 534 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5931,456246] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:756:1] [94:854:1] |
Generators of the group modulo torsion |
j |
-30908647332/102576253 |
j-invariant |
L |
8.5112151223941 |
L(r)(E,1)/r! |
Ω |
0.5365371717204 |
Real period |
R |
7.931617389252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216p3 5512b4 |
Quadratic twists by: -4 -3 |