Atkin-Lehner |
2+ 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150v |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-813191476261500 = -1 · 22 · 38 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21385,667425] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:575:1] |
Generators of the group modulo torsion |
j |
8651864928457171/6505531810092 |
j-invariant |
L |
4.2311399536596 |
L(r)(E,1)/r! |
Ω |
0.32120685974211 |
Real period |
R |
0.8232895378257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150df1 |
Quadratic twists by: 5 |