Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350ba |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-9611136000000000 = -1 · 216 · 36 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8574867,9666863541] |
[a1,a2,a3,a4,a6] |
Generators |
[582442:-115221:343] |
Generators of the group modulo torsion |
j |
-48972057559772381/6750208 |
j-invariant |
L |
4.4104886832095 |
L(r)(E,1)/r! |
Ω |
0.31881095674984 |
Real period |
R |
3.4585454090007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150q1 46350co1 |
Quadratic twists by: -3 5 |