Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104i |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-956951990035283968 = -1 · 219 · 116 · 1013 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-359873,95617985] |
[a1,a2,a3,a4,a6] |
Generators |
[-317:13332:1] |
Generators of the group modulo torsion |
j |
-19662230809392625/3650482139722 |
j-invariant |
L |
9.3659873436571 |
L(r)(E,1)/r! |
Ω |
0.26769284607992 |
Real period |
R |
0.9718837050591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104m2 2222a2 |
Quadratic twists by: -4 8 |