Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376t |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-70650479596032 = -1 · 29 · 32 · 76 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1192,-405112] |
[a1,a2,a3,a4,a6] |
Generators |
[9082:305955:8] |
Generators of the group modulo torsion |
j |
-3112136/1172889 |
j-invariant |
L |
8.7390163130543 |
L(r)(E,1)/r! |
Ω |
0.27610513881132 |
Real period |
R |
7.9127613753204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376bx2 1824c4 |
Quadratic twists by: -4 -7 |