Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824i |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
47853725102848 = 28 · 77 · 613 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71948,-7444648] |
[a1,a2,a3,a4,a6] |
Generators |
[-33042:15533:216] |
Generators of the group modulo torsion |
j |
1367595682000/1588867 |
j-invariant |
L |
6.1335599046777 |
L(r)(E,1)/r! |
Ω |
0.29152423618725 |
Real period |
R |
5.2599056470266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956c2 6832f2 |
Quadratic twists by: -4 -7 |