Atkin-Lehner |
2- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8176c |
Isogeny class |
Conductor |
8176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-133955584 = -1 · 218 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 2 2 7- 6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128,0] |
[a1,a2,a3,a4,a6] |
j |
56181887/32704 |
j-invariant |
L |
4.4553940974521 |
L(r)(E,1)/r! |
Ω |
1.113848524363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1022c1 32704f1 73584bi1 57232l1 |
Quadratic twists by: -4 8 -3 -7 |