Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13760t |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-28856811520 = -1 · 227 · 5 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -6 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,-7937] |
[a1,a2,a3,a4,a6] |
Generators |
[18:53:1] [63:512:1] |
Generators of the group modulo torsion |
j |
6967871/110080 |
j-invariant |
L |
5.0988564922574 |
L(r)(E,1)/r! |
Ω |
0.57632177649442 |
Real period |
R |
2.2118097477034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13760f1 3440b1 123840fe1 68800cw1 |
Quadratic twists by: -4 8 -3 5 |