Atkin-Lehner |
2- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71300f |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16992 |
Modular degree for the optimal curve |
Δ |
141459200 = 28 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 3 -3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215,1070] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-62:1] |
Generators of the group modulo torsion |
j |
171735120/22103 |
j-invariant |
L |
4.0941035185481 |
L(r)(E,1)/r! |
Ω |
1.7716570901606 |
Real period |
R |
0.38514822654018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71300j1 |
Quadratic twists by: 5 |