Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200be |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-477850880000 = -1 · 211 · 54 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 1 5- -2 5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,70688] |
[a1,a2,a3,a4,a6] |
Generators |
[47:188:1] |
Generators of the group modulo torsion |
j |
-2352294050/373321 |
j-invariant |
L |
7.3897338968619 |
L(r)(E,1)/r! |
Ω |
0.90076087386404 |
Real period |
R |
2.0509699470765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999589592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122200c1 |
Quadratic twists by: 5 |