Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fn |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
2.0244052036786E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178394124,-916849206128] |
[a1,a2,a3,a4,a6] |
Generators |
[109994:36197280:1] |
Generators of the group modulo torsion |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
9.1485200099889 |
L(r)(E,1)/r! |
Ω |
0.041310725464884 |
Real period |
R |
1.845469085786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bf1 19152x1 25536dr1 |
Quadratic twists by: -4 8 -3 |