Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180b |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
101902827600 = 24 · 39 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,3537] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:135:1] |
Generators of the group modulo torsion |
j |
588791808/323575 |
j-invariant |
L |
5.1423479906149 |
L(r)(E,1)/r! |
Ω |
0.92337981715915 |
Real period |
R |
0.92817493138854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54180e1 |
Quadratic twists by: -3 |