Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554bc |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
100916560723968 = 216 · 37 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-396824,96313371] |
[a1,a2,a3,a4,a6] |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
4.3696413633015 |
L(r)(E,1)/r! |
Ω |
0.54620517041269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36432cd1 1518c1 113850bd1 50094bd1 |
Quadratic twists by: -4 -3 5 -11 |