Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736fe |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-5849205239808 = -1 · 212 · 36 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12612,-557440] |
[a1,a2,a3,a4,a6] |
j |
-74299881664/1958887 |
j-invariant |
L |
0.89961734923913 |
L(r)(E,1)/r! |
Ω |
0.22490429758137 |
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 |
92736eu1 46368bq1 10304bk1 |
Quadratic twists by: -4 8 -3 |