Atkin-Lehner |
2+ 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264r |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-85012116406272 = -1 · 224 · 34 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 11+ 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14561,803967] |
[a1,a2,a3,a4,a6] |
j |
-1302528459961/324295488 |
j-invariant |
L |
4.6206083560789 |
L(r)(E,1)/r! |
Ω |
0.57757605568443 |
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 |
99264bs1 3102b1 |
Quadratic twists by: -4 8 |