Atkin-Lehner |
2- 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350bn |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
1710 |
Product of Tamagawa factors cp |
deg |
6840000 |
Modular degree for the optimal curve |
Δ |
-1.6856033427251E+22 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 5 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15970180,-25342542553] |
[a1,a2,a3,a4,a6] |
Generators |
[5069:-157235:1] |
Generators of the group modulo torsion |
j |
-1153169335290331325745/43151445573763072 |
j-invariant |
L |
10.618397906138 |
L(r)(E,1)/r! |
Ω |
0.037678130067448 |
Real period |
R |
0.16480619942487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350g1 |
Quadratic twists by: 5 |