Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850v |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-4480312500 = -1 · 22 · 35 · 57 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,412,281] |
[a1,a2,a3,a4,a6] |
Generators |
[5:47:1] |
Generators of the group modulo torsion |
j |
494913671/286740 |
j-invariant |
L |
5.2132585596628 |
L(r)(E,1)/r! |
Ω |
0.8266998303107 |
Real period |
R |
0.78826352209717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800cg1 26550i1 1770b1 |
Quadratic twists by: -4 -3 5 |