Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800cc |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-224167500000000 = -1 · 28 · 37 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,762500] |
[a1,a2,a3,a4,a6] |
Generators |
[64:738:1] |
Generators of the group modulo torsion |
j |
-25600/123 |
j-invariant |
L |
6.1423090986657 |
L(r)(E,1)/r! |
Ω |
0.48562700567472 |
Real period |
R |
3.162050826345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600h1 73800bd1 |
Quadratic twists by: -3 5 |