Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050d |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
596062500 = 22 · 3 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-300,1500] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
192100033/38148 |
j-invariant |
L |
3.2273303612452 |
L(r)(E,1)/r! |
Ω |
1.5455840196824 |
Real period |
R |
1.0440488256045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150ga1 1122j1 |
Quadratic twists by: -3 5 |