Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142q |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15943312289387322 = 2 · 316 · 72 · 194 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64502,1682966] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:1522:1] [-138:2890:1] |
Generators of the group modulo torsion |
j |
29677927947800141017/15943312289387322 |
j-invariant |
L |
6.1355060436459 |
L(r)(E,1)/r! |
Ω |
0.34269864273509 |
Real period |
R |
0.55948445647081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426bx3 |
Quadratic twists by: -3 |