Atkin-Lehner |
7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44149c |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
-241720983284416741 = -1 · 76 · 173 · 535 |
Discriminant |
Eigenvalues |
-1 0 -3 7- 0 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16939,23674032] |
[a1,a2,a3,a4,a6] |
j |
-4568511679857/2054594457109 |
j-invariant |
L |
0.25350603694099 |
L(r)(E,1)/r! |
Ω |
0.25350603694317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901d1 |
Quadratic twists by: -7 |