Atkin-Lehner |
2- 3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918bf |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
37592547213312 = 214 · 310 · 72 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9356,187535] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-2363:1] |
Generators of the group modulo torsion |
j |
124229090257273/51567280128 |
j-invariant |
L |
9.5698562271433 |
L(r)(E,1)/r! |
Ω |
0.58754796884836 |
Real period |
R |
0.58170668209544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306i1 |
Quadratic twists by: -3 |