Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cq |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-28868400000000 = -1 · 210 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6467,-161437] |
[a1,a2,a3,a4,a6] |
Generators |
[38:375:1] |
Generators of the group modulo torsion |
j |
1869154304/1804275 |
j-invariant |
L |
7.1646433684438 |
L(r)(E,1)/r! |
Ω |
0.36200764531753 |
Real period |
R |
1.236963407584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800dz1 6600a1 10560f1 |
Quadratic twists by: -4 8 5 |