Atkin-Lehner |
2+ 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21216c |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
2164032 = 26 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150,756] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:34:1] [-9:36:1] |
Generators of the group modulo torsion |
j |
5870966464/33813 |
j-invariant |
L |
4.7446271674966 |
L(r)(E,1)/r! |
Ω |
2.6179877847695 |
Real period |
R |
0.90615914923288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216o1 42432q2 63648x1 |
Quadratic twists by: -4 8 -3 |