Atkin-Lehner |
2- 3- 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
55278i |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
12259444284 = 22 · 36 · 373 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 2 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-914,-8971] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-707:1] |
Generators of the group modulo torsion |
j |
115714886617/16816796 |
j-invariant |
L |
7.677938036951 |
L(r)(E,1)/r! |
Ω |
0.87678538843543 |
Real period |
R |
0.72974319393064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6142a1 |
Quadratic twists by: -3 |