Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280cm |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
211353600 = 216 · 3 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-1023] |
[a1,a2,a3,a4,a6] |
j |
19307236/3225 |
j-invariant |
L |
2.492450720623 |
L(r)(E,1)/r! |
Ω |
1.2462253603631 |
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 |
41280bm1 10320h1 123840ff1 |
Quadratic twists by: -4 8 -3 |