Atkin-Lehner |
2- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46256bf |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-56863055872 = -1 · 213 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 7- 1 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,-68032] |
[a1,a2,a3,a4,a6] |
Generators |
[132176:1020984:1331] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
10.33097421575 |
L(r)(E,1)/r! |
Ω |
0.31826449691543 |
Real period |
R |
8.1150853424573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782j1 944k1 |
Quadratic twists by: -4 -7 |