Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816cd |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-152018765217792 = -1 · 223 · 34 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5247,576639] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:627:1] |
Generators of the group modulo torsion |
j |
60930425375/579905568 |
j-invariant |
L |
9.6448376698845 |
L(r)(E,1)/r! |
Ω |
0.42396210340465 |
Real period |
R |
2.8436614942933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816t2 22704bb2 |
Quadratic twists by: -4 8 |