Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bk |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-1908782428978656 = -1 · 25 · 35 · 710 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28490,-993916] |
[a1,a2,a3,a4,a6] |
Generators |
[826:23800:1] |
Generators of the group modulo torsion |
j |
2557408516562259359/1908782428978656 |
j-invariant |
L |
11.813230565673 |
L(r)(E,1)/r! |
Ω |
0.26191409568245 |
Real period |
R |
4.5103454760203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
109494l1 |
Quadratic twists by: -3 |