Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432cv |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-139940982816768 = -1 · 217 · 312 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12472,-187020] |
[a1,a2,a3,a4,a6] |
Generators |
[382:7776:1] |
Generators of the group modulo torsion |
j |
1068910070375/697250592 |
j-invariant |
L |
10.092165373963 |
L(r)(E,1)/r! |
Ω |
0.33217002721545 |
Real period |
R |
0.63296934735717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054e1 96432u1 |
Quadratic twists by: -4 -7 |