Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752q |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3681517137984 = 26 · 312 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7761,246440] |
[a1,a2,a3,a4,a6] |
Generators |
[68:182:1] |
Generators of the group modulo torsion |
j |
1108075264192/78907689 |
j-invariant |
L |
4.9902518980981 |
L(r)(E,1)/r! |
Ω |
0.77205534133921 |
Real period |
R |
3.231796753553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013409 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94752j1 31584r1 |
Quadratic twists by: -4 -3 |