Atkin-Lehner |
3+ 7- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
43239b |
Isogeny class |
Conductor |
43239 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4343026728411 = 316 · 72 · 29 · 71 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10024,-377255] |
[a1,a2,a3,a4,a6] |
Generators |
[58351271060:413069376473:405224000] |
Generators of the group modulo torsion |
j |
111407538904292233/4343026728411 |
j-invariant |
L |
6.7561236391978 |
L(r)(E,1)/r! |
Ω |
0.47827259962314 |
Real period |
R |
14.126093873085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129717d2 |
Quadratic twists by: -3 |