Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352h |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1921843642368 = -1 · 214 · 3 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8273,299985] |
[a1,a2,a3,a4,a6] |
Generators |
[43:148:1] [103:728:1] |
Generators of the group modulo torsion |
j |
-3822481042000/117300027 |
j-invariant |
L |
9.5453736281332 |
L(r)(E,1)/r! |
Ω |
0.82820077912029 |
Real period |
R |
2.8813585631714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352ci2 11544f2 |
Quadratic twists by: -4 8 |