Atkin-Lehner |
3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727j |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
12093023061 = 37 · 76 · 47 |
Discriminant |
Eigenvalues |
0 3- -1 7- 3 4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-588,-1458] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:58:1] |
Generators of the group modulo torsion |
j |
262144/141 |
j-invariant |
L |
4.5158855869847 |
L(r)(E,1)/r! |
Ω |
1.0320676292402 |
Real period |
R |
2.1877856930313 |
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 |
6909l1 423a1 |
Quadratic twists by: -3 -7 |