Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850y |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-1699200 = -1 · 27 · 32 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-398,2891] |
[a1,a2,a3,a4,a6] |
Generators |
[9:7:1] |
Generators of the group modulo torsion |
j |
-278933783305/67968 |
j-invariant |
L |
5.0587778901766 |
L(r)(E,1)/r! |
Ω |
2.5904140118657 |
Real period |
R |
0.13949170913012 |
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 |
70800cj1 26550n1 8850p1 |
Quadratic twists by: -4 -3 5 |