Atkin-Lehner |
2+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200c |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5117952 |
Modular degree for the optimal curve |
Δ |
-1.038150771875E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 3 1 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-316300,-494975500] |
[a1,a2,a3,a4,a6] |
Generators |
[1982453130:119111843350:531441] |
Generators of the group modulo torsion |
j |
-874905801901056/25953769296875 |
j-invariant |
L |
13.447439618381 |
L(r)(E,1)/r! |
Ω |
0.081973756733251 |
Real period |
R |
10.252854218199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240g1 |
Quadratic twists by: 5 |