Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408d |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-90816 = -1 · 26 · 3 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11- 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
1560896/1419 |
j-invariant |
L |
5.8589401073156 |
L(r)(E,1)/r! |
Ω |
1.8598845479339 |
Real period |
R |
1.5750816667162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45408h1 90816ba1 |
Quadratic twists by: -4 8 |