Atkin-Lehner |
7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8281b |
Isogeny class |
Conductor |
8281 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-150659189317 = -1 · 74 · 137 |
Discriminant |
Eigenvalues |
-1 0 0 7+ 3 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18115,943128] |
[a1,a2,a3,a4,a6] |
Generators |
[114:534:1] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
2.6810377643894 |
L(r)(E,1)/r! |
Ω |
1.0013430370112 |
Real period |
R |
0.4462403101458 |
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 |
74529m1 8281f1 637a1 |
Quadratic twists by: -3 -7 13 |