Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010a |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
4233636546660 = 22 · 39 · 5 · 192 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83445,9298241] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1105:1] |
Generators of the group modulo torsion |
j |
3264647567377923/215091020 |
j-invariant |
L |
4.0947504923504 |
L(r)(E,1)/r! |
Ω |
0.73923641308595 |
Real period |
R |
2.7695811650629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010bh1 |
Quadratic twists by: -3 |