Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9324i |
Isogeny class |
Conductor |
9324 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-35236664064 = -1 · 28 · 312 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-11468] |
[a1,a2,a3,a4,a6] |
Generators |
[4105:4131:125] |
Generators of the group modulo torsion |
j |
-199794688/188811 |
j-invariant |
L |
5.3973925895687 |
L(r)(E,1)/r! |
Ω |
0.44742144473669 |
Real period |
R |
6.0316650588185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37296ca1 3108j1 65268t1 |
Quadratic twists by: -4 -3 -7 |