Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400iq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4298357760000000 = -1 · 216 · 3 · 57 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14367,-3079137] |
[a1,a2,a3,a4,a6] |
j |
320251964/4197615 |
j-invariant |
L |
6.8624282411387 |
L(r)(E,1)/r! |
Ω |
0.21445090378435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400s3 27600j3 22080cd3 |
Quadratic twists by: -4 8 5 |