Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270u |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21430157995584900 = 22 · 32 · 52 · 478 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79570,-5036005] |
[a1,a2,a3,a4,a6] |
j |
5168743489/1988100 |
j-invariant |
L |
5.2859089988981 |
L(r)(E,1)/r! |
Ω |
0.29366161134662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1410h2 |
Quadratic twists by: -47 |