Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930n |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-132608826453327840 = -1 · 25 · 322 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24201,-17466435] |
[a1,a2,a3,a4,a6] |
j |
2150235484224911/181905111732960 |
j-invariant |
L |
1.2500440860479 |
L(r)(E,1)/r! |
Ω |
0.15625551075599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440er3 2310q4 34650ds3 48510bf3 |
Quadratic twists by: -4 -3 5 -7 |