Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450cs |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
4704 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-4.502249459136E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1857187,-305122383] |
[a1,a2,a3,a4,a6] |
Generators |
[382:21259:1] |
Generators of the group modulo torsion |
j |
45338857965533777399/28814396538470400 |
j-invariant |
L |
9.1111778355966 |
L(r)(E,1)/r! |
Ω |
0.095780780700705 |
Real period |
R |
0.080888881293909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350bg1 4290i1 |
Quadratic twists by: -3 5 |