Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790eu |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-105551268480 = -1 · 27 · 311 · 5 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-608,-16509] |
[a1,a2,a3,a4,a6] |
Generators |
[41:141:1] |
Generators of the group modulo torsion |
j |
-694769929/2954880 |
j-invariant |
L |
7.6308146787663 |
L(r)(E,1)/r! |
Ω |
0.43745766583709 |
Real period |
R |
0.62298392901621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930y1 83790ey1 |
Quadratic twists by: -3 -7 |