Atkin-Lehner |
2+ 3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142n |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
11874077907048 = 23 · 310 · 74 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5951,-61558] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:313:1] |
Generators of the group modulo torsion |
j |
23301756103515625/11874077907048 |
j-invariant |
L |
4.9777334156099 |
L(r)(E,1)/r! |
Ω |
0.57389175484019 |
Real period |
R |
0.43368225572399 |
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 |
69426bs2 |
Quadratic twists by: -3 |