Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10528d |
Isogeny class |
Conductor |
10528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
122421436928 = 29 · 72 · 474 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1259,3502] |
[a1,a2,a3,a4,a6] |
Generators |
[45:6902:125] |
Generators of the group modulo torsion |
j |
431053267464/239104369 |
j-invariant |
L |
4.6677829220335 |
L(r)(E,1)/r! |
Ω |
0.90697350332537 |
Real period |
R |
5.1465482783337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10528f2 21056n4 94752c3 73696i3 |
Quadratic twists by: -4 8 -3 -7 |