Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680ba |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-530604000000 = -1 · 28 · 33 · 56 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1740,-20592] |
[a1,a2,a3,a4,a6] |
Generators |
[36:300:1] |
Generators of the group modulo torsion |
j |
462951088/421875 |
j-invariant |
L |
5.5486724535403 |
L(r)(E,1)/r! |
Ω |
0.50758538228071 |
Real period |
R |
0.60730586717679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360u2 104040cm2 34680d2 |
Quadratic twists by: -4 -3 17 |