Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dw |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-1355367967200000000 = -1 · 211 · 33 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146555,60067947] |
[a1,a2,a3,a4,a6] |
Generators |
[569:-12960:1] |
Generators of the group modulo torsion |
j |
-6838155/26624 |
j-invariant |
L |
9.615291734382 |
L(r)(E,1)/r! |
Ω |
0.23640149380735 |
Real period |
R |
0.15406653745588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050s1 76050e1 5850f1 |
Quadratic twists by: -3 5 13 |