Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45408a |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
10438300224 = 26 · 36 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-814,7744] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:108:1] |
Generators of the group modulo torsion |
j |
933147667648/163098441 |
j-invariant |
L |
2.2556914048271 |
L(r)(E,1)/r! |
Ω |
1.2241308740899 |
Real period |
R |
1.8426881083993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45408f1 90816cv2 |
Quadratic twists by: -4 8 |