Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400cn |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
7.92890260812E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1556208,-611691588] |
[a1,a2,a3,a4,a6] |
Generators |
[-14694:231868:27] |
Generators of the group modulo torsion |
j |
1277380/243 |
j-invariant |
L |
3.8109339169936 |
L(r)(E,1)/r! |
Ω |
0.13695413741099 |
Real period |
R |
4.6377251832121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400bg1 101400u1 |
Quadratic twists by: 5 13 |