Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930n |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
725970513945600 = 210 · 314 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54999,-4778595] |
[a1,a2,a3,a4,a6] |
j |
25238585142450289/995844326400 |
j-invariant |
L |
1.2500440860479 |
L(r)(E,1)/r! |
Ω |
0.31251102151198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440er2 2310q2 34650ds2 48510bf2 |
Quadratic twists by: -4 -3 5 -7 |