Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284o |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-148541691170771712 = -1 · 28 · 32 · 118 · 673 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-940573,-351907921] |
[a1,a2,a3,a4,a6] |
Generators |
[45425395054:971708992905:33698267] |
Generators of the group modulo torsion |
j |
-1676950528000/2706867 |
j-invariant |
L |
8.5351175696556 |
L(r)(E,1)/r! |
Ω |
0.076644214077362 |
Real period |
R |
18.560038902699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284p2 |
Quadratic twists by: -11 |