Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10528d |
Isogeny class |
Conductor |
10528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9433088 = 212 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12284,-524032] |
[a1,a2,a3,a4,a6] |
Generators |
[514:11356:1] |
Generators of the group modulo torsion |
j |
50047592102208/2303 |
j-invariant |
L |
4.6677829220335 |
L(r)(E,1)/r! |
Ω |
0.45348675166269 |
Real period |
R |
5.1465482783337 |
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 |
10528f3 21056n1 94752c4 73696i4 |
Quadratic twists by: -4 8 -3 -7 |