Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082z |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
17424 |
Modular degree for the optimal curve |
Δ |
-451738190948352 = -1 · 211 · 3 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2967,1024233] |
[a1,a2,a3,a4,a6] |
j |
-13475473/2107392 |
j-invariant |
L |
4.7478928731826 |
L(r)(E,1)/r! |
Ω |
0.43162662483479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656bt1 15246m1 127050u1 35574cc1 |
Quadratic twists by: -4 -3 5 -7 |