Atkin-Lehner |
2+ 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142n |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21574730225664 = 211 · 37 · 7 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1420558368768,-651683164129966080] |
[a1,a2,a3,a4,a6] |
Generators |
[2173177127663606729081920693597353141:1292457400869722593287664367207558004957:1405761541613764044654631161007] |
Generators of the group modulo torsion |
j |
434884003110458089122232594329066012673/29594966016 |
j-invariant |
L |
4.01632190321 |
L(r)(E,1)/r! |
Ω |
0.0043730534334453 |
Real period |
R |
57.401566839409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714m4 |
Quadratic twists by: -3 |