Atkin-Lehner |
2- 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574bk |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-2017729297806768 = -1 · 24 · 318 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12640,-2093965] |
[a1,a2,a3,a4,a6] |
j |
306386493698375/2767804249392 |
j-invariant |
L |
5.5304421158663 |
L(r)(E,1)/r! |
Ω |
0.23043505607615 |
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 |
39858j1 |
Quadratic twists by: -3 |