Atkin-Lehner |
2+ 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990q |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-10113723946251900 = -1 · 22 · 313 · 52 · 13 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60939,7560945] |
[a1,a2,a3,a4,a6] |
j |
-34330976953975729/13873421051100 |
j-invariant |
L |
1.5283312465964 |
L(r)(E,1)/r! |
Ω |
0.38208281117518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330bc1 |
Quadratic twists by: -3 |