Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128y |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
54815185152 = 28 · 32 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2724,54468] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:312:1] |
Generators of the group modulo torsion |
j |
8735031579472/214121817 |
j-invariant |
L |
4.3399113608804 |
L(r)(E,1)/r! |
Ω |
1.1162676519711 |
Real period |
R |
0.9719692569288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256be1 111384bd1 |
Quadratic twists by: -4 -3 |