Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bm |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
1408 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
3.3364268028002E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35584713,-76835396583] |
[a1,a2,a3,a4,a6] |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
5.4624820990074 |
L(r)(E,1)/r! |
Ω |
0.062073660215993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44400bo1 16650ba1 1110c1 |
Quadratic twists by: -4 -3 5 |