Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554g |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1756209114 = 2 · 38 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-594,5346] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:111:1] |
Generators of the group modulo torsion |
j |
31824875809/2409066 |
j-invariant |
L |
3.0134339047941 |
L(r)(E,1)/r! |
Ω |
1.4581517323978 |
Real period |
R |
0.34443533753958 |
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 |
36432bz1 1518q1 113850dz1 50094ce1 |
Quadratic twists by: -4 -3 5 -11 |