Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9078c |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1115041565373768 = -1 · 23 · 36 · 176 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21994,1004240] |
[a1,a2,a3,a4,a6] |
Generators |
[660:17080:1] |
Generators of the group modulo torsion |
j |
1176697305334190375/1115041565373768 |
j-invariant |
L |
3.3057022938645 |
L(r)(E,1)/r! |
Ω |
0.32086349966461 |
Real period |
R |
5.1512594877882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
72624q2 27234l2 |
Quadratic twists by: -4 -3 |