Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22960i |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
49393756160000 = 214 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1608136,-784396560] |
[a1,a2,a3,a4,a6] |
j |
112287744132511049929/12059022500 |
j-invariant |
L |
0.53626423395904 |
L(r)(E,1)/r! |
Ω |
0.13406605848977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2870c1 91840bk1 114800bv1 |
Quadratic twists by: -4 8 5 |