Atkin-Lehner |
3+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112749k |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
634023936 |
Modular degree for the optimal curve |
Δ |
-2.7607494357372E+33 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 0 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-37011811426,-3728520984710565] |
[a1,a2,a3,a4,a6] |
Generators |
[28333514:53240932175:8] |
Generators of the group modulo torsion |
j |
-47660269568627184824566863917056/23465983015046766534814434051 |
j-invariant |
L |
9.3906208954671 |
L(r)(E,1)/r! |
Ω |
0.0053178072553302 |
Real period |
R |
12.263070439315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16107i1 |
Quadratic twists by: -7 |