Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728f |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
150377472 = 210 · 34 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2429,46893] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:252:1] |
Generators of the group modulo torsion |
j |
1548406847488/146853 |
j-invariant |
L |
3.7134428998211 |
L(r)(E,1)/r! |
Ω |
1.7501971900271 |
Real period |
R |
1.0608641474767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728et1 6216i1 |
Quadratic twists by: -4 8 |