Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054u |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7011739944 = -1 · 23 · 33 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11+ -3 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,476,-307] |
[a1,a2,a3,a4,a6] |
j |
8960030533/5268024 |
j-invariant |
L |
4.6791361233453 |
L(r)(E,1)/r! |
Ω |
0.77985602055755 |
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 |
63162r1 21054c1 |
Quadratic twists by: -3 -11 |