Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bc |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1376610754176000 = 210 · 312 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-471713,-124568719] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:262:1] |
Generators of the group modulo torsion |
j |
15923145232068467401/1888354944000 |
j-invariant |
L |
7.9912024003277 |
L(r)(E,1)/r! |
Ω |
0.18217268350228 |
Real period |
R |
1.4622028298823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390k1 |
Quadratic twists by: -3 |