Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cp |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
12940406857728000 = 216 · 33 · 53 · 75 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72443,5128977] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:3409:1] |
Generators of the group modulo torsion |
j |
336359233928724677/103523254861824 |
j-invariant |
L |
11.775965378874 |
L(r)(E,1)/r! |
Ω |
0.36952727926633 |
Real period |
R |
0.13278186798383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950k1 |
Quadratic twists by: 5 |