Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5082f |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
1386473242308 = 22 · 3 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4963,120025] |
[a1,a2,a3,a4,a6] |
j |
5735339/588 |
j-invariant |
L |
1.6591305069471 |
L(r)(E,1)/r! |
Ω |
0.82956525347353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656cd1 15246bp1 127050hd1 35574ba1 |
Quadratic twists by: -4 -3 5 -7 |