Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968br |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3825308349698347008 = -1 · 212 · 34 · 714 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,202991,-87335807] |
[a1,a2,a3,a4,a6] |
Generators |
[301:972:1] |
Generators of the group modulo torsion |
j |
1919569026752/7938130977 |
j-invariant |
L |
4.2461901090381 |
L(r)(E,1)/r! |
Ω |
0.12572650111726 |
Real period |
R |
4.2216538173574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79968co2 11424u4 |
Quadratic twists by: -4 -7 |