Atkin-Lehner |
3+ 5- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27435c |
Isogeny class |
Conductor |
27435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
68889285 = 35 · 5 · 312 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5- 4 3 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-970,-11304] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:0:1] |
Generators of the group modulo torsion |
j |
101038424190976/68889285 |
j-invariant |
L |
3.1276076075548 |
L(r)(E,1)/r! |
Ω |
0.85543514918849 |
Real period |
R |
1.8280799020954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82305b1 |
Quadratic twists by: -3 |