Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bw |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-159385218048 = -1 · 210 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1307,-6635] |
[a1,a2,a3,a4,a6] |
Generators |
[9:76:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
3.4902751977341 |
L(r)(E,1)/r! |
Ω |
0.58538687077763 |
Real period |
R |
2.9811696947505 |
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 |
9408bb1 2352t1 28224fi1 1344p1 |
Quadratic twists by: -4 8 -3 -7 |