Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46930bn |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
450 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-3998285824000000000 = -1 · 225 · 59 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2230655,1285738777] |
[a1,a2,a3,a4,a6] |
Generators |
[934:-4627:1] |
Generators of the group modulo torsion |
j |
-3400272639104465801161/11075584000000000 |
j-invariant |
L |
5.1048112575967 |
L(r)(E,1)/r! |
Ω |
0.24841184134349 |
Real period |
R |
0.045666200755714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46930o1 |
Quadratic twists by: -19 |