Atkin-Lehner |
3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20727o |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2938604603823 = -1 · 312 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3537,-114696] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1686:1] [396:7578:1] |
Generators of the group modulo torsion |
j |
-57066625/34263 |
j-invariant |
L |
8.8065134851397 |
L(r)(E,1)/r! |
Ω |
0.30126236803969 |
Real period |
R |
7.3080099104679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909i1 423b1 |
Quadratic twists by: -3 -7 |