Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176b |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-39713884013808 = -1 · 24 · 36 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261855,51575913] |
[a1,a2,a3,a4,a6] |
Generators |
[8832:25921:27] |
Generators of the group modulo torsion |
j |
-1149984000/23 |
j-invariant |
L |
4.5043754366118 |
L(r)(E,1)/r! |
Ω |
0.59545958088149 |
Real period |
R |
3.782268000985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088r1 8464j1 3312e1 |
Quadratic twists by: -4 -3 -23 |