Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680br |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6873984 |
Modular degree for the optimal curve |
Δ |
-6.348929270806E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171747016,-867232177216] |
[a1,a2,a3,a4,a6] |
Generators |
[20039:1933500:1] |
Generators of the group modulo torsion |
j |
-271395189079204/307546875 |
j-invariant |
L |
5.130587615505 |
L(r)(E,1)/r! |
Ω |
0.020850561321657 |
Real period |
R |
6.8351312204183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360f1 104040bh1 34680bo1 |
Quadratic twists by: -4 -3 17 |