Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bw |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-81141217730456832 = -1 · 28 · 36 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35015,-13926337] |
[a1,a2,a3,a4,a6] |
j |
-614125/10496 |
j-invariant |
L |
2.354299623605 |
L(r)(E,1)/r! |
Ω |
0.14714375016236 |
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 |
13858g1 124722z1 |
Quadratic twists by: -3 13 |