Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23392c |
Isogeny class |
Conductor |
23392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
94115934208 = 212 · 172 · 433 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-424060,106289184] |
[a1,a2,a3,a4,a6] |
Generators |
[70:8772:1] |
Generators of the group modulo torsion |
j |
2058949483004232000/22977523 |
j-invariant |
L |
3.7936718387862 |
L(r)(E,1)/r! |
Ω |
0.75090598134881 |
Real period |
R |
0.84202104591306 |
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 |
23392a2 46784a1 |
Quadratic twists by: -4 8 |