Atkin-Lehner |
3- 5+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28635g |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-15217813035 = -1 · 313 · 5 · 23 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 -4 -7 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-751,9836] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:919:8] [-7:125:1] |
Generators of the group modulo torsion |
j |
-46846771425649/15217813035 |
j-invariant |
L |
5.8536080335815 |
L(r)(E,1)/r! |
Ω |
1.1758842076424 |
Real period |
R |
0.38292676959047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85905j1 |
Quadratic twists by: -3 |