Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728o |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-415362318336 = -1 · 217 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9840,373716] |
[a1,a2,a3,a4,a6] |
Generators |
[114:864:1] |
Generators of the group modulo torsion |
j |
-25727239787761/101406816 |
j-invariant |
L |
5.2302017366033 |
L(r)(E,1)/r! |
Ω |
0.94934504925461 |
Real period |
R |
0.153035381273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966h1 30912bf1 23184bo1 54096bj1 |
Quadratic twists by: -4 8 -3 -7 |