Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200g |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7784100000000 = 28 · 34 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9508,-327488] |
[a1,a2,a3,a4,a6] |
j |
23767139536/1946025 |
j-invariant |
L |
3.8879180008451 |
L(r)(E,1)/r! |
Ω |
0.48598975010164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18600ba2 111600bs2 7440h2 |
Quadratic twists by: -4 -3 5 |