Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
22260b |
Isogeny class |
Conductor |
22260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-103051370016000 = -1 · 28 · 311 · 53 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22636,1406440] |
[a1,a2,a3,a4,a6] |
j |
-5010741385126864/402544414125 |
j-invariant |
L |
1.7548423026833 |
L(r)(E,1)/r! |
Ω |
0.58494743422776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89040bz1 66780j1 111300k1 |
Quadratic twists by: -4 -3 5 |