Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176s |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-1852890972548226048 = -1 · 210 · 312 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-306291,92444866] |
[a1,a2,a3,a4,a6] |
Generators |
[69:8464:1] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
5.9099408176919 |
L(r)(E,1)/r! |
Ω |
0.24455992470113 |
Real period |
R |
1.5103508946823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088y1 25392k1 3312a1 |
Quadratic twists by: -4 -3 -23 |