Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350q |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
210700 = 22 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 2 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
1500625/172 |
j-invariant |
L |
4.23347936718 |
L(r)(E,1)/r! |
Ω |
2.1399638849486 |
Real period |
R |
0.98914739583058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999037275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dg1 105350a1 |
Quadratic twists by: 5 -7 |