Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700w |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-100266660000000 = -1 · 28 · 36 · 57 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3492,-474012] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1518:1] |
Generators of the group modulo torsion |
j |
1176960944/25066665 |
j-invariant |
L |
9.5632427442531 |
L(r)(E,1)/r! |
Ω |
0.29041040291458 |
Real period |
R |
1.8294498348422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940c2 |
Quadratic twists by: 5 |