Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bj |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6031872 |
Modular degree for the optimal curve |
Δ |
-1.5197709727148E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51365508,-141724852887] |
[a1,a2,a3,a4,a6] |
Generators |
[169906267706571431649045805295438738156435683165600:31501541301625345734877907948713857621412880711300151:4730884609361801866043375302641188320598421875] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
9.0641266467726 |
L(r)(E,1)/r! |
Ω |
0.028196747763619 |
Real period |
R |
80.365000981317 |
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 |
14520bf1 72600dq1 |
Quadratic twists by: 5 -11 |