Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686be |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
2.433294429498E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84698241,299925614146] |
[a1,a2,a3,a4,a6] |
Generators |
[5198:8205:1] |
Generators of the group modulo torsion |
j |
12079000375/4374 |
j-invariant |
L |
4.812215401008 |
L(r)(E,1)/r! |
Ω |
0.11747133042921 |
Real period |
R |
2.9260728574815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686g1 49686cw2 |
Quadratic twists by: -7 13 |