Atkin-Lehner |
2+ 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210i |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6573837952109E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24854310,-47685949700] |
[a1,a2,a3,a4,a6] |
j |
2329170742739282109464161/22735031484375000 |
j-invariant |
L |
1.0818557636233 |
L(r)(E,1)/r! |
Ω |
0.067615985228638 |
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 |
14070h2 |
Quadratic twists by: -3 |