Atkin-Lehner |
3+ 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555b |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105216 |
Modular degree for the optimal curve |
Δ |
45134595225 = 39 · 52 · 372 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1703,25462] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:208:1] |
Generators of the group modulo torsion |
j |
27735580683/2293075 |
j-invariant |
L |
4.5916064011759 |
L(r)(E,1)/r! |
Ω |
1.1100757369093 |
Real period |
R |
2.0681500401382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555e1 |
Quadratic twists by: -3 |