Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554f |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
236967852792489984 = 211 · 310 · 115 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 11+ -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195624,-23626944] |
[a1,a2,a3,a4,a6] |
j |
1135700552684700289/325058782980096 |
j-invariant |
L |
0.4639156508532 |
L(r)(E,1)/r! |
Ω |
0.2319578254266 |
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 |
36432cr1 1518t1 113850ek1 50094bz1 |
Quadratic twists by: -4 -3 5 -11 |