Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686x |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.3730016720086E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1190381,873637549] |
[a1,a2,a3,a4,a6] |
Generators |
[993:54604:1] |
Generators of the group modulo torsion |
j |
721710134999099/1691848015872 |
j-invariant |
L |
2.0514424032776 |
L(r)(E,1)/r! |
Ω |
0.11653109212095 |
Real period |
R |
4.4010623386877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098p2 49686cr2 |
Quadratic twists by: -7 13 |