Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554h |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
1510907904 = 213 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-774,-7884] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:21:1] |
Generators of the group modulo torsion |
j |
70393838689/2072576 |
j-invariant |
L |
2.8087570206526 |
L(r)(E,1)/r! |
Ω |
0.90671319061872 |
Real period |
R |
1.5488674090734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432by1 506f1 113850dw1 50094cd1 |
Quadratic twists by: -4 -3 5 -11 |