Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728dc |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
471023616 = 214 · 3 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497,4305] |
[a1,a2,a3,a4,a6] |
Generators |
[24:75:1] |
Generators of the group modulo torsion |
j |
830321872/28749 |
j-invariant |
L |
5.1795380675218 |
L(r)(E,1)/r! |
Ω |
1.6518714291778 |
Real period |
R |
3.1355576324059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cl2 12432h2 |
Quadratic twists by: -4 8 |