Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658bc |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
4551120 |
Modular degree for the optimal curve |
Δ |
-9.1614544921494E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14302978,-20826624316] |
[a1,a2,a3,a4,a6] |
Generators |
[7550:545378:1] |
Generators of the group modulo torsion |
j |
-27685698258625/7838208 |
j-invariant |
L |
12.24363384376 |
L(r)(E,1)/r! |
Ω |
0.038815533994187 |
Real period |
R |
1.6689486088186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658l1 |
Quadratic twists by: -43 |