Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162cb |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-3280428156615819264 = -1 · 215 · 311 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-637088,214406723] |
[a1,a2,a3,a4,a6] |
Generators |
[-899:8193:1] [-591:19897:1] |
Generators of the group modulo torsion |
j |
-22143063655441/2540077056 |
j-invariant |
L |
13.366108639169 |
L(r)(E,1)/r! |
Ω |
0.24458560765779 |
Real period |
R |
0.22769990378139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054p1 5742e1 |
Quadratic twists by: -3 -11 |