Atkin-Lehner |
2- 3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150bv |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
108225000000 = 26 · 32 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2588,-49219] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:37:1] |
Generators of the group modulo torsion |
j |
122689385209/6926400 |
j-invariant |
L |
9.7522437347832 |
L(r)(E,1)/r! |
Ω |
0.67171381437 |
Real period |
R |
1.2098708711811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430r1 |
Quadratic twists by: 5 |