Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bf |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-483864924816 = -1 · 24 · 32 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,33464] |
[a1,a2,a3,a4,a6] |
Generators |
[39:274:1] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
6.026983721392 |
L(r)(E,1)/r! |
Ω |
0.75361857531142 |
Real period |
R |
0.9996740922478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1014a1 49686db1 |
Quadratic twists by: -7 13 |