Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642s |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80256 |
Modular degree for the optimal curve |
Δ |
-4653302588748 = -1 · 22 · 34 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1026,-102585] |
[a1,a2,a3,a4,a6] |
Generators |
[518:3661:8] |
Generators of the group modulo torsion |
j |
557183/21708 |
j-invariant |
L |
7.2531760616233 |
L(r)(E,1)/r! |
Ω |
0.371234513361 |
Real period |
R |
4.8844974002808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48642h1 |
Quadratic twists by: -11 |