Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bt |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-196944426000000 = -1 · 27 · 33 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1837,675281] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:710:1] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
6.3943933466887 |
L(r)(E,1)/r! |
Ω |
0.43813010931765 |
Real period |
R |
1.0424811538693 |
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 |
97650bd1 1302i1 |
Quadratic twists by: -3 5 |