Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800b |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
-3.23647569E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,793592,29312812] |
[a1,a2,a3,a4,a6] |
Generators |
[145437:55465000:1] |
Generators of the group modulo torsion |
j |
1727289090422782/1011398653125 |
j-invariant |
L |
4.1646988577395 |
L(r)(E,1)/r! |
Ω |
0.12591157063838 |
Real period |
R |
8.2690948038466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360x1 |
Quadratic twists by: 5 |