Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054c |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-12421725026932584 = -1 · 23 · 33 · 119 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 11+ 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,57594,696348] |
[a1,a2,a3,a4,a6] |
j |
8960030533/5268024 |
j-invariant |
L |
1.4584284815484 |
L(r)(E,1)/r! |
Ω |
0.2430714135914 |
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 |
63162bu1 21054u1 |
Quadratic twists by: -3 -11 |