Atkin-Lehner |
2- 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610m |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
171200 |
Modular degree for the optimal curve |
Δ |
-28461818183680 = -1 · 220 · 5 · 75 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 5 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-208516,-36666864] |
[a1,a2,a3,a4,a6] |
j |
-1002633007535125420609/28461818183680 |
j-invariant |
L |
2.2341583838064 |
L(r)(E,1)/r! |
Ω |
0.11170791919032 |
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 |
113050x1 |
Quadratic twists by: 5 |