Atkin-Lehner |
2+ 3- 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34782l |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-32017216449393648 = -1 · 24 · 322 · 112 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4374,-8607860] |
[a1,a2,a3,a4,a6] |
Generators |
[380:6735:1] |
Generators of the group modulo torsion |
j |
9257692893734375/32017216449393648 |
j-invariant |
L |
5.5214049201102 |
L(r)(E,1)/r! |
Ω |
0.17145588512263 |
Real period |
R |
1.4637756571296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346bs2 |
Quadratic twists by: -3 |