Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5082a |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3914812571623053408 = 25 · 32 · 78 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-426890,-49807116] |
[a1,a2,a3,a4,a6] |
Generators |
[24371:3791147:1] |
Generators of the group modulo torsion |
j |
3648707754875/1660262688 |
j-invariant |
L |
2.3276626678691 |
L(r)(E,1)/r! |
Ω |
0.19498464534632 |
Real period |
R |
5.9688358120067 |
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 |
40656cv2 15246be2 127050ho2 35574u2 |
Quadratic twists by: -4 -3 5 -7 |