Atkin-Lehner |
2- 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890bh |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-6376170700800 = -1 · 214 · 35 · 52 · 29 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1665,-118503] |
[a1,a2,a3,a4,a6] |
Generators |
[54:333:1] |
Generators of the group modulo torsion |
j |
510446374108559/6376170700800 |
j-invariant |
L |
10.747135359683 |
L(r)(E,1)/r! |
Ω |
0.36942505365805 |
Real period |
R |
0.41559310506452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670o1 |
Quadratic twists by: -3 |