Atkin-Lehner |
3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747o |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-190890985601547 = -1 · 322 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
-2 3- 4 7+ 11- -1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19353,1231146] |
[a1,a2,a3,a4,a6] |
j |
-1099616058781696/261853203843 |
j-invariant |
L |
2.1625336111397 |
L(r)(E,1)/r! |
Ω |
0.54063340238793 |
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 |
18249l1 |
Quadratic twists by: -3 |