Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200ck |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-19680000 = -1 · 28 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
204800/123 |
j-invariant |
L |
3.5794426729584 |
L(r)(E,1)/r! |
Ω |
1.2615255971465 |
Real period |
R |
1.4186960142009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300n1 49200db1 |
Quadratic twists by: -4 5 |