Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bh |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-1.1399393954346E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1197086,1701148461] |
[a1,a2,a3,a4,a6] |
Generators |
[641:-34917:1] |
Generators of the group modulo torsion |
j |
-260238710834147491993/1563702874395951744 |
j-invariant |
L |
7.201542328944 |
L(r)(E,1)/r! |
Ω |
0.1333340967483 |
Real period |
R |
0.64299116927921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926e2 |
Quadratic twists by: -3 |