Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054s |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-671372015292 = -1 · 22 · 33 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1086,37024] |
[a1,a2,a3,a4,a6] |
j |
80062991/378972 |
j-invariant |
L |
3.9091420588452 |
L(r)(E,1)/r! |
Ω |
0.65152367647421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162cg1 1914q1 |
Quadratic twists by: -3 -11 |