Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21216b |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
2164032 = 26 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] [-2:6:1] |
Generators of the group modulo torsion |
j |
69934528/33813 |
j-invariant |
L |
5.3363509888369 |
L(r)(E,1)/r! |
Ω |
2.0700395694997 |
Real period |
R |
1.2889490296376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216g1 42432cq2 63648p1 |
Quadratic twists by: -4 8 -3 |