Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376f |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-21685978789687296 = -1 · 212 · 38 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73565,-10424427] |
[a1,a2,a3,a4,a6] |
j |
-91368216064/45001899 |
j-invariant |
L |
0.56650856106643 |
L(r)(E,1)/r! |
Ω |
0.14162715141236 |
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 |
89376cv1 1824d1 |
Quadratic twists by: -4 -7 |