Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488x |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
16194816 = 28 · 34 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ 3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-621,5751] |
[a1,a2,a3,a4,a6] |
Generators |
[15:6:1] |
Generators of the group modulo torsion |
j |
103623368704/63261 |
j-invariant |
L |
5.6386446446174 |
L(r)(E,1)/r! |
Ω |
2.177710089353 |
Real period |
R |
0.32365675487428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9372a1 112464bk1 |
Quadratic twists by: -4 -3 |