Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728q |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7.0113364672058E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10187329,-17855223743] |
[a1,a2,a3,a4,a6] |
j |
-446030778735169043473/267461260498268466 |
j-invariant |
L |
4.4414993024434 |
L(r)(E,1)/r! |
Ω |
0.041124993544627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728ec3 1554n3 |
Quadratic twists by: -4 8 |