Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350bo |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-3.02852996992E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -5 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285430,271272197] |
[a1,a2,a3,a4,a6] |
Generators |
[1769:71915:1] |
Generators of the group modulo torsion |
j |
-6583564633100625/77530367229952 |
j-invariant |
L |
9.3896979763296 |
L(r)(E,1)/r! |
Ω |
0.17762344125078 |
Real period |
R |
0.083909434464162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350e1 |
Quadratic twists by: 5 |