Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cc |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17044444831640625 = 32 · 58 · 78 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-178876,-28448227] |
[a1,a2,a3,a4,a6] |
j |
344324701729/9272025 |
j-invariant |
L |
3.720452290612 |
L(r)(E,1)/r! |
Ω |
0.23252828482639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21315i2 15225d2 |
Quadratic twists by: 5 -7 |