Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ex |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1754002833408 = 214 · 310 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3057,-14193] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:108:1] |
Generators of the group modulo torsion |
j |
192899964112/107055837 |
j-invariant |
L |
8.8260814959635 |
L(r)(E,1)/r! |
Ω |
0.68817299578974 |
Real period |
R |
1.2825381916981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728j2 12432e2 |
Quadratic twists by: -4 8 |