Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cd |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
5.9315808126759E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9927317,-2767486597] |
[a1,a2,a3,a4,a6] |
Generators |
[-2881:45380:1] |
Generators of the group modulo torsion |
j |
65352943209688399/35827476332544 |
j-invariant |
L |
9.3987966499303 |
L(r)(E,1)/r! |
Ω |
0.090893064594659 |
Real period |
R |
1.9885575453805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49686dg1 3822e1 |
Quadratic twists by: -7 13 |