Atkin-Lehner |
2+ 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9758f |
Isogeny class |
Conductor |
9758 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15905499367688 = 23 · 72 · 176 · 412 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71006,-7262420] |
[a1,a2,a3,a4,a6] |
Generators |
[363:3652:1] |
Generators of the group modulo torsion |
j |
39592442701299014073/15905499367688 |
j-invariant |
L |
3.5613444064601 |
L(r)(E,1)/r! |
Ω |
0.29247313262202 |
Real period |
R |
2.0294424850428 |
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 |
78064d2 87822bp2 68306h2 |
Quadratic twists by: -4 -3 -7 |