Atkin-Lehner |
2- 3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938p |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-55213704 = -1 · 23 · 33 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 1 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-854,-9684] |
[a1,a2,a3,a4,a6] |
j |
-68885705026657/55213704 |
j-invariant |
L |
7.9479307141607 |
L(r)(E,1)/r! |
Ω |
0.44155170634221 |
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 |
86814g1 |
Quadratic twists by: -3 |