Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770bk |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6195929012506598400 = 210 · 312 · 52 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3822233,-2872781319] |
[a1,a2,a3,a4,a6] |
j |
8471251011543632552521/8499216752409600 |
j-invariant |
L |
4.3192309428591 |
L(r)(E,1)/r! |
Ω |
0.10798077357409 |
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 |
16590d2 |
Quadratic twists by: -3 |