Atkin-Lehner |
3- 7+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119133d |
Isogeny class |
Conductor |
119133 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-23169104973 = -1 · 36 · 75 · 31 · 61 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 2 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-558,-8771] |
[a1,a2,a3,a4,a6] |
j |
-26383748833/31782037 |
j-invariant |
L |
0.93899956526069 |
L(r)(E,1)/r! |
Ω |
0.46949956465406 |
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 |
13237a1 |
Quadratic twists by: -3 |