Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050bc |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.1762389099585E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58310026,-46305330052] |
[a1,a2,a3,a4,a6] |
Generators |
[-4178:354776:1] |
Generators of the group modulo torsion |
j |
1403244603169451656303249/752792902373458022400 |
j-invariant |
L |
5.0692938578347 |
L(r)(E,1)/r! |
Ω |
0.058131018255288 |
Real period |
R |
4.3602314136863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038879 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20010q2 |
Quadratic twists by: 5 |