Atkin-Lehner |
3+ 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23205a |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9189111800621025 = 312 · 52 · 72 · 132 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-285558,58433823] |
[a1,a2,a3,a4,a6] |
Generators |
[894:41835:8] |
Generators of the group modulo torsion |
j |
2575188849443651233129/9189111800621025 |
j-invariant |
L |
3.3014407120623 |
L(r)(E,1)/r! |
Ω |
0.41229941780285 |
Real period |
R |
4.0036931529708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69615s2 116025bn2 |
Quadratic twists by: -3 5 |