Atkin-Lehner |
3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21021d |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-868926027748779 = -1 · 34 · 79 · 112 · 133 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 11+ 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-92724,-10928968] |
[a1,a2,a3,a4,a6] |
j |
-2184854450176/21532797 |
j-invariant |
L |
1.0937193418653 |
L(r)(E,1)/r! |
Ω |
0.13671491773316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063v1 21021m1 |
Quadratic twists by: -3 -7 |