Atkin-Lehner |
3- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627d |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376832 |
Modular degree for the optimal curve |
Δ |
-11853897643733859 = -1 · 38 · 7 · 178 · 37 |
Discriminant |
Eigenvalues |
2 3- 3 7+ -1 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16179,-5178047] |
[a1,a2,a3,a4,a6] |
Generators |
[318056378025230:-6462744373204699:786330467000] |
Generators of the group modulo torsion |
j |
642467567439872/16260490594971 |
j-invariant |
L |
13.813514846509 |
L(r)(E,1)/r! |
Ω |
0.19449690864555 |
Real period |
R |
17.75544267349 |
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 |
13209a1 |
Quadratic twists by: -3 |