Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11730s |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-50484816347760 = -1 · 24 · 33 · 5 · 174 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8335,176985] |
[a1,a2,a3,a4,a6] |
Generators |
[52:841:1] |
Generators of the group modulo torsion |
j |
64037927489693039/50484816347760 |
j-invariant |
L |
7.7578315294663 |
L(r)(E,1)/r! |
Ω |
0.40731818826281 |
Real period |
R |
0.79358837810077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840bw3 35190i3 58650c3 |
Quadratic twists by: -4 -3 5 |