Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78652c |
Isogeny class |
Conductor |
78652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
111569365217158912 = 28 · 7 · 538 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154495,-16971978] |
[a1,a2,a3,a4,a6] |
Generators |
[-5805863824480:38109853690539:20123648000] |
Generators of the group modulo torsion |
j |
71874000/19663 |
j-invariant |
L |
5.3456626217506 |
L(r)(E,1)/r! |
Ω |
0.2457582729817 |
Real period |
R |
21.751709750402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1484c2 |
Quadratic twists by: 53 |