Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626i |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-8.0027152660126E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1399325,1202842334] |
[a1,a2,a3,a4,a6] |
Generators |
[-404:24110:1] |
Generators of the group modulo torsion |
j |
303026031242278164433367/800271526601264743872 |
j-invariant |
L |
4.7176390795644 |
L(r)(E,1)/r! |
Ω |
0.11145030978784 |
Real period |
R |
0.13227977698495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008bc1 31878bf1 74382j1 116886bq1 |
Quadratic twists by: -4 -3 -7 -11 |