Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520bc |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-96963750000 = -1 · 24 · 33 · 57 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1040,-7267] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-195:1] |
Generators of the group modulo torsion |
j |
7767586344704/6060234375 |
j-invariant |
L |
7.3329658644218 |
L(r)(E,1)/r! |
Ω |
0.59394074192977 |
Real period |
R |
0.14697966734535 |
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 |
53040j1 79560o1 |
Quadratic twists by: -4 -3 |