Atkin-Lehner |
2+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10528a |
Isogeny class |
Conductor |
10528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-147392 = -1 · 26 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[19:84:1] |
Generators of the group modulo torsion |
j |
2299968/2303 |
j-invariant |
L |
4.757053872305 |
L(r)(E,1)/r! |
Ω |
1.7718001022186 |
Real period |
R |
2.6848705259404 |
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 |
10528h1 21056b1 94752bd1 73696c1 |
Quadratic twists by: -4 8 -3 -7 |