Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600s |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-50336000000 = -1 · 211 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 11- 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,725,7750] |
[a1,a2,a3,a4,a6] |
j |
1317006/1573 |
j-invariant |
L |
1.5061941246197 |
L(r)(E,1)/r! |
Ω |
0.75309706230956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200g1 1144a1 |
Quadratic twists by: -4 5 |