Atkin-Lehner |
2- 3+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bh |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22764469417650 = -1 · 2 · 33 · 52 · 19 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8702,-385521] |
[a1,a2,a3,a4,a6] |
Generators |
[4534768778982:-9859053596633:40494950504] |
Generators of the group modulo torsion |
j |
-2698798100290083/843128496950 |
j-invariant |
L |
10.416166576729 |
L(r)(E,1)/r! |
Ω |
0.24326609265117 |
Real period |
R |
21.408997988877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010a2 |
Quadratic twists by: -3 |