Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665u |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
406560 |
Modular degree for the optimal curve |
Δ |
-14443632861328125 = -1 · 36 · 511 · 74 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2217210,-1270203859] |
[a1,a2,a3,a4,a6] |
Generators |
[8571667415397888673126131332:-184552358405137905610762849275:4437914768779165958561941] |
Generators of the group modulo torsion |
j |
-688691336801860161/8251953125 |
j-invariant |
L |
5.5039619529084 |
L(r)(E,1)/r! |
Ω |
0.06186108464229 |
Real period |
R |
44.486464994389 |
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 |
3185g1 28665bm1 |
Quadratic twists by: -3 -7 |