Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170i |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
867101760 = 26 · 38 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:45:1] |
Generators of the group modulo torsion |
j |
4750104241/1189440 |
j-invariant |
L |
3.6129206956892 |
L(r)(E,1)/r! |
Ω |
1.4813751236283 |
Real period |
R |
1.2194482808788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390u1 |
Quadratic twists by: -3 |