Atkin-Lehner |
2- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57040s |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1679257600000000 = -1 · 218 · 58 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21200,-2294848] |
[a1,a2,a3,a4,a6] |
Generators |
[634:15450:1] |
Generators of the group modulo torsion |
j |
-257271591070801/409975000000 |
j-invariant |
L |
10.454621770702 |
L(r)(E,1)/r! |
Ω |
0.18741085926627 |
Real period |
R |
3.4865314807926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7130i1 |
Quadratic twists by: -4 |