Atkin-Lehner |
2+ 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994p |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-2664861941664 = -1 · 25 · 35 · 136 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 3 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3384,108838] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:285:1] [14:-261:1] |
Generators of the group modulo torsion |
j |
-887503681/552096 |
j-invariant |
L |
8.4739444894099 |
L(r)(E,1)/r! |
Ω |
0.74868931748176 |
Real period |
R |
0.5659186188177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
426a1 |
Quadratic twists by: 13 |