Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944x |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
407429982415872 = 210 · 318 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199371,-34250474] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:76:1] [894:22406:1] |
Generators of the group modulo torsion |
j |
1174038094183972/545789907 |
j-invariant |
L |
8.0233113775296 |
L(r)(E,1)/r! |
Ω |
0.22594158716373 |
Real period |
R |
17.75527798663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648h4 |
Quadratic twists by: -3 |