Atkin-Lehner |
2- 3- 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37884n |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-11761618176 = -1 · 28 · 33 · 73 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10612,417284] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:462:1] [-4:678:1] |
Generators of the group modulo torsion |
j |
-516316964692048/45943821 |
j-invariant |
L |
8.9375525398355 |
L(r)(E,1)/r! |
Ω |
1.215384470501 |
Real period |
R |
1.2256138910171 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113652bb1 |
Quadratic twists by: -3 |