Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37224l |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-66393663849216 = -1 · 28 · 36 · 115 · 472 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61812,-5928012] |
[a1,a2,a3,a4,a6] |
j |
-139950548941824/355761659 |
j-invariant |
L |
0.60547360844064 |
L(r)(E,1)/r! |
Ω |
0.15136840210595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74448l1 4136b1 |
Quadratic twists by: -4 -3 |