Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650w |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-893898021240000000 = -1 · 29 · 37 · 57 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,98433,-43932659] |
[a1,a2,a3,a4,a6] |
Generators |
[299:3338:1] |
Generators of the group modulo torsion |
j |
9259677062999/78476643840 |
j-invariant |
L |
4.6328051323267 |
L(r)(E,1)/r! |
Ω |
0.13890774379671 |
Real period |
R |
0.69482644466939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bq2 19530bu2 |
Quadratic twists by: -3 5 |