Atkin-Lehner |
2+ 3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142o |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
747926298 = 2 · 36 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-235,404] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:38:1] |
Generators of the group modulo torsion |
j |
1426487591593/747926298 |
j-invariant |
L |
5.6772775830509 |
L(r)(E,1)/r! |
Ω |
1.4053823760153 |
Real period |
R |
0.67327792539372 |
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 |
69426bu2 |
Quadratic twists by: -3 |