Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425y |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
134193390625 = 56 · 76 · 73 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -2 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1455,12422] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:93:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
2.040005025181 |
L(r)(E,1)/r! |
Ω |
0.94413341446783 |
Real period |
R |
2.1607168959952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3577a1 1825a1 |
Quadratic twists by: 5 -7 |