Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260h |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
2.2762288204523E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2097408,1146401093] |
[a1,a2,a3,a4,a6] |
Generators |
[-877:48076:1] |
Generators of the group modulo torsion |
j |
87483260671136628736/1951499331663525 |
j-invariant |
L |
7.2782178222884 |
L(r)(E,1)/r! |
Ω |
0.21380573477459 |
Real period |
R |
2.8367721141264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42420a1 |
Quadratic twists by: -3 |