Atkin-Lehner |
2- 3- 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810bl |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-12015900000000 = -1 · 28 · 32 · 58 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-830,-167100] |
[a1,a2,a3,a4,a6] |
Generators |
[70:310:1] |
Generators of the group modulo torsion |
j |
-63239829700321/12015900000000 |
j-invariant |
L |
10.854116339377 |
L(r)(E,1)/r! |
Ω |
0.31814870985886 |
Real period |
R |
2.1322804405273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92430o1 |
Quadratic twists by: -3 |