Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15824i |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-290206776295424 = -1 · 220 · 235 · 43 |
Discriminant |
Eigenvalues |
2- 1 2 -2 5 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,248,819700] |
[a1,a2,a3,a4,a6] |
Generators |
[300:5290:1] |
Generators of the group modulo torsion |
j |
410172407/70851263744 |
j-invariant |
L |
6.2645359311332 |
L(r)(E,1)/r! |
Ω |
0.43357377466027 |
Real period |
R |
1.444860436045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978a1 63296x1 |
Quadratic twists by: -4 8 |