Atkin-Lehner |
2- 5- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050u |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
660780800000000 = 214 · 58 · 23 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- 3 3 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53680,-4611053] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:-335:1] |
Generators of the group modulo torsion |
j |
43791882431985/1691598848 |
j-invariant |
L |
12.338952896282 |
L(r)(E,1)/r! |
Ω |
0.31439756749923 |
Real period |
R |
0.46721829797433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050a1 |
Quadratic twists by: 5 |