Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46728l |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-395695694592 = -1 · 28 · 39 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324,-30348] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3915:1] |
Generators of the group modulo torsion |
j |
-746496/78529 |
j-invariant |
L |
6.6361843239016 |
L(r)(E,1)/r! |
Ω |
0.42016091757308 |
Real period |
R |
3.9485968627405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456d1 46728b1 |
Quadratic twists by: -4 -3 |