Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ec |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.1573939435212E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1008191,-340393921] |
[a1,a2,a3,a4,a6] |
Generators |
[41989330:1541641413:68921] |
Generators of the group modulo torsion |
j |
432326451325256207/441510751160136 |
j-invariant |
L |
8.4719325865408 |
L(r)(E,1)/r! |
Ω |
0.10150477732367 |
Real period |
R |
13.910564622197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728q2 12432bf2 |
Quadratic twists by: -4 8 |