Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200cy |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-7.316748345528E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2535533,-4399918437] |
[a1,a2,a3,a4,a6] |
Generators |
[2149:8964:1] |
Generators of the group modulo torsion |
j |
-28167721053151744/114324192898875 |
j-invariant |
L |
7.936612074093 |
L(r)(E,1)/r! |
Ω |
0.054550124424856 |
Real period |
R |
5.1961463827944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200bv1 25440d1 |
Quadratic twists by: -4 5 |