Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200er |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-62099136000 = -1 · 29 · 36 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1035,-17550] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1430:1] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
6.4263341621584 |
L(r)(E,1)/r! |
Ω |
0.41101000741641 |
Real period |
R |
2.6059114726259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200ej1 8800k1 79200ci1 |
Quadratic twists by: -4 -3 5 |