Atkin-Lehner |
2- 3- 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37884n |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-656397534541056 = -1 · 28 · 3 · 7 · 116 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,308,1232756] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1674:1] [-790:3993:8] |
Generators of the group modulo torsion |
j |
12581287472/2564052869301 |
j-invariant |
L |
8.9375525398355 |
L(r)(E,1)/r! |
Ω |
0.40512815683367 |
Real period |
R |
11.030525019154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652bb2 |
Quadratic twists by: -3 |