Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392n |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-715858771968 = -1 · 217 · 32 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1952,-22924] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3762:1] |
Generators of the group modulo torsion |
j |
200715401375/174770208 |
j-invariant |
L |
7.053764614087 |
L(r)(E,1)/r! |
Ω |
0.49714757748554 |
Real period |
R |
3.5471180659084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4674e2 112176q2 |
Quadratic twists by: -4 -3 |