Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cn |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
36842904000 = 26 · 33 · 53 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46123,-3816463] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:65:1] |
Generators of the group modulo torsion |
j |
86809435136665541/294743232 |
j-invariant |
L |
13.132760142571 |
L(r)(E,1)/r! |
Ω |
0.32577684063277 |
Real period |
R |
1.1197815416858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950j2 |
Quadratic twists by: 5 |