Atkin-Lehner |
2- 3- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28638m |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4625451845428644 = -1 · 22 · 315 · 374 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -1 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42188,-4661805] |
[a1,a2,a3,a4,a6] |
Generators |
[869:24351:1] |
Generators of the group modulo torsion |
j |
-11390776875675001/6344927085636 |
j-invariant |
L |
7.7579318499141 |
L(r)(E,1)/r! |
Ω |
0.16236174854576 |
Real period |
R |
2.9863606727725 |
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 |
9546a1 |
Quadratic twists by: -3 |