Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5880bi |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1190700000000 = -1 · 28 · 35 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345,52443] |
[a1,a2,a3,a4,a6] |
Generators |
[81:750:1] |
Generators of the group modulo torsion |
j |
-363080704/94921875 |
j-invariant |
L |
4.9352870475312 |
L(r)(E,1)/r! |
Ω |
0.70477091266522 |
Real period |
R |
0.087533533216976 |
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 |
11760n1 47040j1 17640r1 29400j1 |
Quadratic twists by: -4 8 -3 5 |