Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686w |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-813091582377984 = -1 · 220 · 3 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-217389,-39127395] |
[a1,a2,a3,a4,a6] |
Generators |
[1429456401254:-15750468209587:2422300607] |
Generators of the group modulo torsion |
j |
-4395631034341/3145728 |
j-invariant |
L |
3.9124827862976 |
L(r)(E,1)/r! |
Ω |
0.11054555081742 |
Real period |
R |
17.69624719088 |
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 |
1014c3 49686cq3 |
Quadratic twists by: -7 13 |