Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107632i |
Isogeny class |
Conductor |
107632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-101786022166528 = -1 · 214 · 7 · 316 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,555636] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2112:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
3.8784965007131 |
L(r)(E,1)/r! |
Ω |
0.53378928065657 |
Real period |
R |
3.6329846142498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454d1 112c1 |
Quadratic twists by: -4 -31 |