Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042w |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-182193190032357504 = -1 · 27 · 317 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20807,20512549] |
[a1,a2,a3,a4,a6] |
j |
20329346580026519/3718228368007296 |
j-invariant |
L |
1.4818433439145 |
L(r)(E,1)/r! |
Ω |
0.24697389065638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126fa1 42042ba1 |
Quadratic twists by: -3 -7 |