Atkin-Lehner |
2+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23392a |
Isogeny class |
Conductor |
23392 |
Conductor |
∏ cp |
4 |
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 |
[-14875325572217435200200:-32144533762080265176:39563315693842113181] |
Generators of the group modulo torsion |
j |
2058949483004232000/22977523 |
j-invariant |
L |
5.893145686383 |
L(r)(E,1)/r! |
Ω |
0.18708661949901 |
Real period |
R |
31.499557275469 |
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 |
23392c2 46784e1 |
Quadratic twists by: -4 8 |