Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cv |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-853987308065892 = -1 · 22 · 33 · 74 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8574,-1371672] |
[a1,a2,a3,a4,a6] |
j |
29032124914751/355679845092 |
j-invariant |
L |
8.8466664536277 |
L(r)(E,1)/r! |
Ω |
0.2457407348244 |
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 |
126126bn1 42042cc1 |
Quadratic twists by: -3 -7 |