Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930b |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12806640 = 24 · 33 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1275,17845] |
[a1,a2,a3,a4,a6] |
Generators |
[18:13:1] |
Generators of the group modulo torsion |
j |
8493409990827/474320 |
j-invariant |
L |
2.8732766893483 |
L(r)(E,1)/r! |
Ω |
2.1235405246808 |
Real period |
R |
0.33826487603529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bv2 6930u2 34650cn2 48510k2 |
Quadratic twists by: -4 -3 5 -7 |