Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4230bg |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
7805539687500000 = 25 · 312 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56372,2924471] |
[a1,a2,a3,a4,a6] |
Generators |
[561:-12431:1] |
Generators of the group modulo torsion |
j |
27175609354259449/10707187500000 |
j-invariant |
L |
5.601274759512 |
L(r)(E,1)/r! |
Ω |
0.37843822862537 |
Real period |
R |
0.29602055690081 |
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 |
33840cj2 1410e2 21150s2 |
Quadratic twists by: -4 -3 5 |