Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300ca |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-1.4504835465067E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5660475,2589749125] |
[a1,a2,a3,a4,a6] |
Generators |
[5801:480249:1] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
6.4552886889413 |
L(r)(E,1)/r! |
Ω |
0.079471263400452 |
Real period |
R |
0.19339990729158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100z1 2772h1 |
Quadratic twists by: -3 5 |