Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dp |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-90878118912 = -1 · 210 · 33 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 -2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2381,-46227] |
[a1,a2,a3,a4,a6] |
Generators |
[3639:38780:27] |
Generators of the group modulo torsion |
j |
-1458425767936/88748163 |
j-invariant |
L |
6.997960379399 |
L(r)(E,1)/r! |
Ω |
0.34051528970637 |
Real period |
R |
5.1377725104664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bo1 12432u1 |
Quadratic twists by: -4 8 |