Atkin-Lehner |
2+ 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334k |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76544 |
Modular degree for the optimal curve |
Δ |
-183476772864 = -1 · 213 · 37 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24255,-1448051] |
[a1,a2,a3,a4,a6] |
j |
-2164761684272881/251682816 |
j-invariant |
L |
1.5302252278424 |
L(r)(E,1)/r! |
Ω |
0.19127815348034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778l1 |
Quadratic twists by: -3 |