Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bw |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-1.2640387942295E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3689358,2731381323] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:3591:1] |
Generators of the group modulo torsion |
j |
-168712375/384 |
j-invariant |
L |
7.0714738091919 |
L(r)(E,1)/r! |
Ω |
0.22526350347394 |
Real period |
R |
2.2422863193272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686cu1 49686d2 |
Quadratic twists by: -7 13 |