Atkin-Lehner |
2+ 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370bu |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1553416987500 = -1 · 22 · 36 · 55 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,60806] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:127:1] [60:-503:1] |
Generators of the group modulo torsion |
j |
-34427173081/646987500 |
j-invariant |
L |
10.617496443703 |
L(r)(E,1)/r! |
Ω |
0.71282139086995 |
Real period |
R |
0.082750170122704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370i1 |
Quadratic twists by: -7 |