Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094cb |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-33806441520375552 = -1 · 28 · 36 · 79 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1103024,-445699565] |
[a1,a2,a3,a4,a6] |
Generators |
[3569785:6742921145:1] |
Generators of the group modulo torsion |
j |
-5045083293951/1149184 |
j-invariant |
L |
11.821731282568 |
L(r)(E,1)/r! |
Ω |
0.073657574656161 |
Real period |
R |
10.030987425345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566d1 59094cd1 |
Quadratic twists by: -3 -7 |