Atkin-Lehner |
3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775m |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4297967578125 = -1 · 39 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9492,372041] |
[a1,a2,a3,a4,a6] |
j |
-12301875/559 |
j-invariant |
L |
4.6213059610317 |
L(r)(E,1)/r! |
Ω |
0.77021765813814 |
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 |
125775n1 125775c1 |
Quadratic twists by: -3 5 |