Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782r |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-296261056 = -1 · 26 · 72 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2769,-57259] |
[a1,a2,a3,a4,a6] |
Generators |
[45018:57367:729] |
Generators of the group modulo torsion |
j |
-47944803313897/6046144 |
j-invariant |
L |
5.1875271192959 |
L(r)(E,1)/r! |
Ω |
0.32905243893424 |
Real period |
R |
7.8825234302074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782g1 |
Quadratic twists by: -7 |