Atkin-Lehner |
2- 3+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142z |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
590954112 = 27 · 32 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19789,1063235] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-276:1] |
Generators of the group modulo torsion |
j |
857031193465601617/590954112 |
j-invariant |
L |
5.7253834973694 |
L(r)(E,1)/r! |
Ω |
1.3514288432337 |
Real period |
R |
0.30261006056321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426u2 |
Quadratic twists by: -3 |