Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ez |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2.5540783046283E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37885068,-89786187504] |
[a1,a2,a3,a4,a6] |
Generators |
[1135680:70264116:125] |
Generators of the group modulo torsion |
j |
-38575685889/16384 |
j-invariant |
L |
2.7207038962938 |
L(r)(E,1)/r! |
Ω |
0.03042576292152 |
Real period |
R |
7.4517547705791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bn2 24336bk2 10816y2 97344ev2 |
Quadratic twists by: -4 8 -3 13 |