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 |
Δ |
388785373911648000 = 28 · 36 · 53 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-450043,-112304623] |
[a1,a2,a3,a4,a6] |
Generators |
[842:9869:1] |
Generators of the group modulo torsion |
j |
80644692924244684997/3110282991293184 |
j-invariant |
L |
11.775965378874 |
L(r)(E,1)/r! |
Ω |
0.18476363963317 |
Real period |
R |
0.26556373596766 |
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 |
61950k2 |
Quadratic twists by: 5 |