Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150bj |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-51394500 = -1 · 22 · 37 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 0 -3 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,436] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:28:1] [-1:23:1] |
Generators of the group modulo torsion |
j |
-456533/564 |
j-invariant |
L |
5.0878181159713 |
L(r)(E,1)/r! |
Ω |
1.8084509313314 |
Real period |
R |
0.17583481350758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050z1 21150cj1 |
Quadratic twists by: -3 5 |