Atkin-Lehner |
3- 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27639j |
Isogeny class |
Conductor |
27639 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
-544018437 = -1 · 311 · 37 · 83 |
Discriminant |
Eigenvalues |
1 3- 2 4 5 -3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7326,-239531] |
[a1,a2,a3,a4,a6] |
Generators |
[14470772932:-582367874441:9129329] |
Generators of the group modulo torsion |
j |
-59652722882017/746253 |
j-invariant |
L |
8.7648645938422 |
L(r)(E,1)/r! |
Ω |
0.25801783433869 |
Real period |
R |
16.984997599695 |
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 |
9213c1 |
Quadratic twists by: -3 |