Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360m |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
2990080000000 = 219 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -5 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156172,23754736] |
[a1,a2,a3,a4,a6] |
Generators |
[222:160:1] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
3.2836811880444 |
L(r)(E,1)/r! |
Ω |
0.71718465825773 |
Real period |
R |
0.1635204082995 |
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 |
23360bf1 730c1 116800l1 |
Quadratic twists by: -4 8 5 |