Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478bi |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-760352085504 = -1 · 29 · 39 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2212,11935] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:29:1] [5:149:1] |
Generators of the group modulo torsion |
j |
8869743/5632 |
j-invariant |
L |
13.327084240576 |
L(r)(E,1)/r! |
Ω |
0.55871694618584 |
Real period |
R |
0.66258377696929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478e1 71478a1 |
Quadratic twists by: -3 -19 |