Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400t |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-511180800 = -1 · 219 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,897] |
[a1,a2,a3,a4,a6] |
Generators |
[1:32:1] |
Generators of the group modulo torsion |
j |
34295/78 |
j-invariant |
L |
2.45166226279 |
L(r)(E,1)/r! |
Ω |
1.1485002288877 |
Real period |
R |
0.53366603704306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400gs1 1950z1 62400du1 |
Quadratic twists by: -4 8 5 |