Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490p |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13628160 |
Modular degree for the optimal curve |
Δ |
1.8470133684965E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -1 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-469043617,-3904644906131] |
[a1,a2,a3,a4,a6] |
Generators |
[-12147:33041:1] |
Generators of the group modulo torsion |
j |
82780849946780654929/133978933305000 |
j-invariant |
L |
3.7744141832849 |
L(r)(E,1)/r! |
Ω |
0.032444304147737 |
Real period |
R |
5.8167593394792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470eo1 35490ca1 |
Quadratic twists by: -3 13 |