Atkin-Lehner |
2- 3+ 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938k |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
183040 |
Modular degree for the optimal curve |
Δ |
-1957003482999474 = -1 · 2 · 313 · 75 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18029,2315909] |
[a1,a2,a3,a4,a6] |
j |
-648097183130853457/1957003482999474 |
j-invariant |
L |
4.1066663074416 |
L(r)(E,1)/r! |
Ω |
0.41066663074422 |
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 |
86814w1 |
Quadratic twists by: -3 |