Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bt |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-110502178504704 = -1 · 214 · 312 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11899,82851] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:243:1] |
Generators of the group modulo torsion |
j |
11371000208384/6744517731 |
j-invariant |
L |
6.56278323075 |
L(r)(E,1)/r! |
Ω |
0.36176784888161 |
Real period |
R |
1.5117391007775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728dr1 6216a1 |
Quadratic twists by: -4 8 |