Atkin-Lehner |
2- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826n |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
57036813950255104 = 221 · 76 · 19 · 233 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-388522,92339127] |
[a1,a2,a3,a4,a6] |
Generators |
[209:4403:1] [-343:13787:1] |
Generators of the group modulo torsion |
j |
55129288688387857/484804919296 |
j-invariant |
L |
9.2999607439146 |
L(r)(E,1)/r! |
Ω |
0.35428892674458 |
Real period |
R |
0.20833056491911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874f1 |
Quadratic twists by: -7 |