Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700cc |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-9.5194876674406E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14003625,-25043819375] |
[a1,a2,a3,a4,a6] |
Generators |
[7925:-601425:1] |
Generators of the group modulo torsion |
j |
-66655744502536960/20893251396303 |
j-invariant |
L |
5.9274379340047 |
L(r)(E,1)/r! |
Ω |
0.038406318005723 |
Real period |
R |
0.85741650423162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999452163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900bj1 128700bb1 |
Quadratic twists by: -3 5 |