Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020j |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-632610108345600 = -1 · 28 · 39 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17577,-812322] |
[a1,a2,a3,a4,a6] |
j |
347482224/366025 |
j-invariant |
L |
2.2236548541407 |
L(r)(E,1)/r! |
Ω |
0.27795685888616 |
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 |
97020r2 97020w2 |
Quadratic twists by: -3 -7 |