Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bg |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
75310727184000000 = 210 · 38 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108707,-3970461] |
[a1,a2,a3,a4,a6] |
Generators |
[1547:-60174:1] |
Generators of the group modulo torsion |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
6.2806254849751 |
L(r)(E,1)/r! |
Ω |
0.27918015687791 |
Real period |
R |
0.18747229850944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440eo2 2310a2 34650bh2 48510dh2 |
Quadratic twists by: -4 -3 5 -7 |