Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456be |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-21539417982768 = -1 · 24 · 35 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 6 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,425,-223126] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-1029:1] |
Generators of the group modulo torsion |
j |
4499456/11442627 |
j-invariant |
L |
5.4466439996511 |
L(r)(E,1)/r! |
Ω |
0.3154955466619 |
Real period |
R |
0.86318872917224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912k1 109368bb1 5208h1 |
Quadratic twists by: -4 -3 -7 |