Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800t |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-6.5507484375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443675,-1400764250] |
[a1,a2,a3,a4,a6] |
Generators |
[53505119779:2415548681136:19465109] |
Generators of the group modulo torsion |
j |
-28528865980996/56162109375 |
j-invariant |
L |
8.3568225467766 |
L(r)(E,1)/r! |
Ω |
0.064746094313742 |
Real period |
R |
16.133835401673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999022402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600bb1 25560o1 |
Quadratic twists by: -3 5 |