Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336f |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1330368 = -1 · 26 · 3 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 -3 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25,21] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
25934336/20787 |
j-invariant |
L |
2.6761697018715 |
L(r)(E,1)/r! |
Ω |
1.7473565807303 |
Real period |
R |
0.76577664316857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999560984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336z1 51168r1 |
Quadratic twists by: -4 8 |