Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320i |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.6497250477831E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2173784,131682416] |
[a1,a2,a3,a4,a6] |
Generators |
[5204:390320:1] |
Generators of the group modulo torsion |
j |
277340138354597406551/162346802924393000 |
j-invariant |
L |
5.3178356165619 |
L(r)(E,1)/r! |
Ω |
0.097857346260153 |
Real period |
R |
6.7928415951965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290b2 |
Quadratic twists by: -4 |