Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360f |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13747968 |
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 |
[7110:74066:1] |
Generators of the group modulo torsion |
j |
-271395189079204/307546875 |
j-invariant |
L |
5.4369551330295 |
L(r)(E,1)/r! |
Ω |
0.09086834427003 |
Real period |
R |
7.4791655668171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680br1 69360by1 |
Quadratic twists by: -4 17 |