Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800x |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-845152000 = -1 · 28 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,212,672] |
[a1,a2,a3,a4,a6] |
j |
32774128/26411 |
j-invariant |
L |
4.0844366368455 |
L(r)(E,1)/r! |
Ω |
1.0211091592124 |
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 |
15400j2 123200hm2 30800s2 |
Quadratic twists by: -4 8 5 |