Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554bg |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
2613931169256 = 23 · 36 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2615051,-1627023437] |
[a1,a2,a3,a4,a6] |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
4.9863047428577 |
L(r)(E,1)/r! |
Ω |
0.11872154149661 |
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 |
36432bw1 506b1 113850ce1 50094v1 |
Quadratic twists by: -4 -3 5 -11 |