Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692r |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-35990417470678272 = -1 · 28 · 310 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80148,2679732] |
[a1,a2,a3,a4,a6] |
Generators |
[10986:416025:8] |
Generators of the group modulo torsion |
j |
5511553616/3483891 |
j-invariant |
L |
7.9175296285455 |
L(r)(E,1)/r! |
Ω |
0.22759259576027 |
Real period |
R |
6.9576337508671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076l2 34692j2 |
Quadratic twists by: -3 -7 |