Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680br |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
31449600 = 29 · 33 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-655200,-203912748] |
[a1,a2,a3,a4,a6] |
Generators |
[12529:1399350:1] |
Generators of the group modulo torsion |
j |
60754168345375814408/61425 |
j-invariant |
L |
5.8179339081944 |
L(r)(E,1)/r! |
Ω |
0.16780543666101 |
Real period |
R |
8.6676779131301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680cf4 87360gb4 |
Quadratic twists by: -4 8 |