Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042m |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-78065852996615484 = -1 · 22 · 3 · 710 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52111,12660705] |
[a1,a2,a3,a4,a6] |
Generators |
[41047:-8336926:1] |
Generators of the group modulo torsion |
j |
133018079080823/663548801916 |
j-invariant |
L |
4.2874042386019 |
L(r)(E,1)/r! |
Ω |
0.24695980197432 |
Real period |
R |
8.6803686355395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fy1 6006j1 |
Quadratic twists by: -3 -7 |