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 |
61050726379188 = 22 · 310 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10364,149388] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:752:1] |
Generators of the group modulo torsion |
j |
476379541/236196 |
j-invariant |
L |
3.9124827862976 |
L(r)(E,1)/r! |
Ω |
0.55272775408711 |
Real period |
R |
1.769624719088 |
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 |
1014c2 49686cq2 |
Quadratic twists by: -7 13 |