Atkin-Lehner |
2- 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088t |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51155582976 = 214 · 32 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-977,4785] |
[a1,a2,a3,a4,a6] |
j |
6301325392/3122289 |
j-invariant |
L |
1.9951798829565 |
L(r)(E,1)/r! |
Ω |
0.99759013993279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113088n2 28272d2 |
Quadratic twists by: -4 8 |