Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320bh |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-57065472000 = -1 · 217 · 34 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 -5 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-720,-13932] |
[a1,a2,a3,a4,a6] |
Generators |
[66:480:1] |
Generators of the group modulo torsion |
j |
-10091699281/13932000 |
j-invariant |
L |
5.9492185128558 |
L(r)(E,1)/r! |
Ω |
0.43861383474768 |
Real period |
R |
0.28257670536649 |
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 |
1290l1 41280bz1 30960bm1 51600br1 |
Quadratic twists by: -4 8 -3 5 |