Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bj |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-6021540000000 = -1 · 28 · 36 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12812,573711] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:909:1] |
Generators of the group modulo torsion |
j |
-319018004775289/8260000000 |
j-invariant |
L |
9.243967681146 |
L(r)(E,1)/r! |
Ω |
0.7545042901009 |
Real period |
R |
0.10939026697049 |
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 |
4130a1 |
Quadratic twists by: -3 |