Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320m |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-11360188497920000 = -1 · 235 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -4 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12136,-5157836] |
[a1,a2,a3,a4,a6] |
Generators |
[9102:868352:1] |
Generators of the group modulo torsion |
j |
-91236912601/5242880000 |
j-invariant |
L |
5.3253175141121 |
L(r)(E,1)/r! |
Ω |
0.17719776150878 |
Real period |
R |
3.7566201942757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5290b1 42320w1 |
Quadratic twists by: -4 -23 |