Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bb |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3420218935692000000 = -1 · 28 · 311 · 56 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,126825,87263750] |
[a1,a2,a3,a4,a6] |
Generators |
[-311:4212:1] |
Generators of the group modulo torsion |
j |
77366117936/1172914587 |
j-invariant |
L |
5.5769876664857 |
L(r)(E,1)/r! |
Ω |
0.18611683960777 |
Real period |
R |
1.2485408982517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400bm2 15600h2 1872g2 |
Quadratic twists by: -4 -3 5 |