Atkin-Lehner |
2+ 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9672b |
Isogeny class |
Conductor |
9672 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
41760 |
Modular degree for the optimal curve |
Δ |
-67959949903872 = -1 · 211 · 3 · 135 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 0 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47736,4049868] |
[a1,a2,a3,a4,a6] |
j |
-5874094542556658/33183569289 |
j-invariant |
L |
3.1059340058647 |
L(r)(E,1)/r! |
Ω |
0.62118680117294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19344i1 77376p1 29016n1 125736r1 |
Quadratic twists by: -4 8 -3 13 |