Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39886n |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
708058385638912 = 29 · 72 · 11 · 376 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 11+ -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35811,2281507] |
[a1,a2,a3,a4,a6] |
Generators |
[-969:51124:27] |
Generators of the group modulo torsion |
j |
103649117412483153/14450171135488 |
j-invariant |
L |
13.572744888699 |
L(r)(E,1)/r! |
Ω |
0.48854738101903 |
Real period |
R |
1.5434355233519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39886l1 |
Quadratic twists by: -7 |