Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930u |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9336040560 = 24 · 39 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11477,-470339] |
[a1,a2,a3,a4,a6] |
j |
8493409990827/474320 |
j-invariant |
L |
3.6900891440677 |
L(r)(E,1)/r! |
Ω |
0.46126114300846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ci2 6930b2 34650a2 48510cb2 |
Quadratic twists by: -4 -3 5 -7 |