Atkin-Lehner |
2+ 3+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28638a |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-705992106442752 = -1 · 219 · 39 · 37 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 3 -5 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72942,-7671340] |
[a1,a2,a3,a4,a6] |
Generators |
[377:4090:1] |
Generators of the group modulo torsion |
j |
-2180563659421875/35868114944 |
j-invariant |
L |
2.552915083365 |
L(r)(E,1)/r! |
Ω |
0.14511110012272 |
Real period |
R |
4.3982077890766 |
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 |
28638i1 |
Quadratic twists by: -3 |