Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054m |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-36254088825768 = -1 · 23 · 36 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5684,238610] |
[a1,a2,a3,a4,a6] |
Generators |
[878:11389:8] |
Generators of the group modulo torsion |
j |
94766375/169128 |
j-invariant |
L |
5.0176001935772 |
L(r)(E,1)/r! |
Ω |
0.44689067830526 |
Real period |
R |
5.613901158786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63162ci1 21054be1 |
Quadratic twists by: -3 -11 |