Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bx |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
397231912883925 = 321 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -5 -2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19311,-385367] |
[a1,a2,a3,a4,a6] |
Generators |
[293:4227:1] |
Generators of the group modulo torsion |
j |
650084162720545/324270949293 |
j-invariant |
L |
6.8448302311678 |
L(r)(E,1)/r! |
Ω |
0.42648164839387 |
Real period |
R |
0.76426335877941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bk1 113925e1 |
Quadratic twists by: 5 -7 |