Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160ba |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-6362171965440 = -1 · 224 · 33 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54267,-4867286] |
[a1,a2,a3,a4,a6] |
Generators |
[24623735:225329664:79507] |
Generators of the group modulo torsion |
j |
-159811283852163/57528320 |
j-invariant |
L |
6.0079009501242 |
L(r)(E,1)/r! |
Ω |
0.15639621114418 |
Real period |
R |
9.6036548874311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770v1 38160t1 |
Quadratic twists by: -4 -3 |