Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686w |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2382104245248 = 210 · 32 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3478829,-2498905443] |
[a1,a2,a3,a4,a6] |
Generators |
[-531143386:265324445:493039] |
Generators of the group modulo torsion |
j |
18013780041269221/9216 |
j-invariant |
L |
3.9124827862976 |
L(r)(E,1)/r! |
Ω |
0.11054555081742 |
Real period |
R |
8.8481235954401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014c4 49686cq4 |
Quadratic twists by: -7 13 |