Atkin-Lehner |
3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7137b |
Isogeny class |
Conductor |
7137 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
-2637856611 = -1 · 39 · 133 · 61 |
Discriminant |
Eigenvalues |
2 3+ -3 1 -2 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14499,-671983] |
[a1,a2,a3,a4,a6] |
Generators |
[9439119534:-73309207361:55742968] |
Generators of the group modulo torsion |
j |
-17125630488576/134017 |
j-invariant |
L |
6.8388551410411 |
L(r)(E,1)/r! |
Ω |
0.217537855358 |
Real period |
R |
15.718770256759 |
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 |
114192ba1 7137d1 92781f1 |
Quadratic twists by: -4 -3 13 |