Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cp |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-625591296000000000 = -1 · 219 · 33 · 59 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,180862,-23833969] |
[a1,a2,a3,a4,a6] |
Generators |
[185:3907:1] |
Generators of the group modulo torsion |
j |
334992828740851/320302743552 |
j-invariant |
L |
5.952888783127 |
L(r)(E,1)/r! |
Ω |
0.15766719847385 |
Real period |
R |
0.99357995507869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150dr1 28050bp1 |
Quadratic twists by: -3 5 |