Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659a |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
372000 |
Modular degree for the optimal curve |
Δ |
-1683613161824931 = -1 · 35 · 175 · 474 |
Discriminant |
Eigenvalues |
0 3+ 1 0 1 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19145,-1696860] |
[a1,a2,a3,a4,a6] |
j |
159028772864/345025251 |
j-invariant |
L |
0.73684280595983 |
L(r)(E,1)/r! |
Ω |
0.24561395087617 |
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 |
112659b1 |
Quadratic twists by: -47 |