Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112c |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-334025607168 = -1 · 211 · 36 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1035,30618] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:108:1] [-9:198:1] |
Generators of the group modulo torsion |
j |
-82127250/223729 |
j-invariant |
L |
10.26582176892 |
L(r)(E,1)/r! |
Ω |
0.8487639825173 |
Real period |
R |
0.75593907584608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34056z2 7568e2 |
Quadratic twists by: -4 -3 |