Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550dj |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
20160000 |
Modular degree for the optimal curve |
Δ |
2.3011139971662E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1996646513,-34340134656983] |
[a1,a2,a3,a4,a6] |
Generators |
[-412320117624682796484:205787312019984517279:15982631870218957] |
Generators of the group modulo torsion |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
6.5978911217934 |
L(r)(E,1)/r! |
Ω |
0.022585216533739 |
Real period |
R |
24.344431647493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46550bo1 6650bf1 |
Quadratic twists by: 5 -7 |