Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dl |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2613059947827560448 = 220 · 314 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-601377,161577567] |
[a1,a2,a3,a4,a6] |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
3.4777417281722 |
L(r)(E,1)/r! |
Ω |
0.24841012344656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664q1 10416t1 124992fc1 |
Quadratic twists by: -4 8 -3 |