Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728du |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
12982588416 = 210 · 33 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12397,535405] |
[a1,a2,a3,a4,a6] |
j |
205782571927552/12678309 |
j-invariant |
L |
3.5865851648321 |
L(r)(E,1)/r! |
Ω |
1.1955283884497 |
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 |
49728bx1 12432s1 |
Quadratic twists by: -4 8 |