Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110i |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
50771520 = 26 · 32 · 5 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103,-214] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] |
Generators of the group modulo torsion |
j |
119168121961/50771520 |
j-invariant |
L |
5.8620444805888 |
L(r)(E,1)/r! |
Ω |
1.558977579796 |
Real period |
R |
1.8800926185724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330bl1 |
Quadratic twists by: -3 |