Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450cu |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
490 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
-730617879558996000 = -1 · 25 · 37 · 53 · 113 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,219427,-11209263] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:-46241:1] |
Generators of the group modulo torsion |
j |
9347248137604569499/5844943036471968 |
j-invariant |
L |
9.3056553383158 |
L(r)(E,1)/r! |
Ω |
0.16417162676302 |
Real period |
R |
0.1156785354324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350cm1 21450o1 |
Quadratic twists by: -3 5 |