Atkin-Lehner |
2- 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170r |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
538959052800000 = 218 · 33 · 55 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4758668,-3994356593] |
[a1,a2,a3,a4,a6] |
j |
441383486809470093057987/19961446400000 |
j-invariant |
L |
1.8399275254184 |
L(r)(E,1)/r! |
Ω |
0.1022181958571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170f1 |
Quadratic twists by: -3 |