Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bx |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-7746367510114467840 = -1 · 226 · 311 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1094412,-460572176] |
[a1,a2,a3,a4,a6] |
Generators |
[254729256340:5806678247856:172808693] |
Generators of the group modulo torsion |
j |
-758575480593601/40535043840 |
j-invariant |
L |
8.3448958038645 |
L(r)(E,1)/r! |
Ω |
0.073574407834511 |
Real period |
R |
14.177646904548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720fc1 1710g1 18240bd1 |
Quadratic twists by: -4 8 -3 |