Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410x |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
4484399760 = 24 · 37 · 5 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,-993] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:17:1] |
Generators of the group modulo torsion |
j |
11867954041/6151440 |
j-invariant |
L |
10.325128691956 |
L(r)(E,1)/r! |
Ω |
1.110911012485 |
Real period |
R |
2.3235723930285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470n1 |
Quadratic twists by: -3 |