Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bd |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
226800 |
Modular degree for the optimal curve |
Δ |
-4192991977343750 = -1 · 2 · 58 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -6 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18758,2949666] |
[a1,a2,a3,a4,a6] |
Generators |
[69:2103:1] |
Generators of the group modulo torsion |
j |
6615/38 |
j-invariant |
L |
3.2163862235736 |
L(r)(E,1)/r! |
Ω |
0.31664840292473 |
Real period |
R |
3.3858649886953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bw1 46550ba1 |
Quadratic twists by: 5 -7 |