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 |
-10205703962827776 = -1 · 210 · 39 · 13 · 794 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48669,-2558450] |
[a1,a2,a3,a4,a6] |
Generators |
[59:720:1] [2075:95040:1] |
Generators of the group modulo torsion |
j |
17078648326268/13671478431 |
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 |
24648h3 |
Quadratic twists by: -3 |