Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37700f |
Isogeny class |
Conductor |
37700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
5176681250000 = 24 · 58 · 134 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4633,-54012] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:250:1] |
Generators of the group modulo torsion |
j |
44001181696/20706725 |
j-invariant |
L |
4.5139232026504 |
L(r)(E,1)/r! |
Ω |
0.60580208959334 |
Real period |
R |
1.8627878973149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540e1 |
Quadratic twists by: 5 |