Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800h |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-5073024880000000 = -1 · 210 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9325,3409250] |
[a1,a2,a3,a4,a6] |
j |
5604672636/317064055 |
j-invariant |
L |
2.6256190927846 |
L(r)(E,1)/r! |
Ω |
0.32820238659785 |
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 |
15400n4 123200gc3 6160c4 |
Quadratic twists by: -4 8 5 |