Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bg |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.0364351216646E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70405317,67567024341] |
[a1,a2,a3,a4,a6] |
Generators |
[339:208968:1] |
Generators of the group modulo torsion |
j |
3388383326345613179401/1787816842064922240 |
j-invariant |
L |
3.8109782921887 |
L(r)(E,1)/r! |
Ω |
0.059935138354945 |
Real period |
R |
1.324688375946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450cs2 12870bm2 |
Quadratic twists by: -3 5 |