Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bq |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-5.1139790842331E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 4 -3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2920080,-2207385808] |
[a1,a2,a3,a4,a6] |
j |
-11776000/2187 |
j-invariant |
L |
2.7441528742109 |
L(r)(E,1)/r! |
Ω |
0.057169851803054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4761f1 25392v1 76176bp1 |
Quadratic twists by: -4 -3 -23 |