Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518q |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-502772125509172584 = -1 · 23 · 32 · 1310 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1257279,-543795903] |
[a1,a2,a3,a4,a6] |
Generators |
[21330746546544932:-1078945051502814685:7135551731008] |
Generators of the group modulo torsion |
j |
-1594355615593/3647016 |
j-invariant |
L |
11.944534843872 |
L(r)(E,1)/r! |
Ω |
0.071277444756709 |
Real period |
R |
27.929674164206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554d2 37518h2 |
Quadratic twists by: -3 13 |