Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624ba |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
211316688 = 24 · 39 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6048,181035] |
[a1,a2,a3,a4,a6] |
Generators |
[23318480:-3789629:512000] |
Generators of the group modulo torsion |
j |
77686898688/671 |
j-invariant |
L |
8.6093100348376 |
L(r)(E,1)/r! |
Ω |
1.5997894963353 |
Real period |
R |
10.763053601616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24156a1 96624u1 |
Quadratic twists by: -4 -3 |