Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600s |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3180000000 = -1 · 28 · 3 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,367,363] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:75:8] |
Generators of the group modulo torsion |
j |
1362944/795 |
j-invariant |
L |
7.9990690834517 |
L(r)(E,1)/r! |
Ω |
0.85686629777125 |
Real period |
R |
2.333814827347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800f1 12720d1 |
Quadratic twists by: -4 5 |