Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bm |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
14303636100 = 22 · 39 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3998,-96119] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1097:1] |
Generators of the group modulo torsion |
j |
358970654043/726700 |
j-invariant |
L |
9.4434452493715 |
L(r)(E,1)/r! |
Ω |
0.60048223425495 |
Real period |
R |
3.9316089264164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310g1 |
Quadratic twists by: -3 |