Atkin-Lehner |
2- 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280r |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6331500000000 = -1 · 28 · 33 · 59 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1575,118125] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:250:1] |
Generators of the group modulo torsion |
j |
1686745846784/24732421875 |
j-invariant |
L |
4.3457682088065 |
L(r)(E,1)/r! |
Ω |
0.55867355846065 |
Real period |
R |
0.43215141203564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560v1 |
Quadratic twists by: -4 |