Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080t |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-172497600 = -1 · 26 · 34 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150,900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:30:1] |
Generators of the group modulo torsion |
j |
-4410944/2025 |
j-invariant |
L |
9.4061384278104 |
L(r)(E,1)/r! |
Ω |
1.6893278747398 |
Real period |
R |
0.69599710101519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080bm1 116160c2 58080cd1 |
Quadratic twists by: -4 8 -11 |