Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bw |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-294937500 = -1 · 22 · 3 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-163,-1219] |
[a1,a2,a3,a4,a6] |
Generators |
[55:372:1] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
5.6996293813793 |
L(r)(E,1)/r! |
Ω |
0.64985825692536 |
Real period |
R |
2.1926432882248 |
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 |
64350bb1 858c1 |
Quadratic twists by: -3 5 |