Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070bi |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-42055837839360 = -1 · 212 · 39 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3667,299157] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-660:1] |
Generators of the group modulo torsion |
j |
7482383093879/57689763840 |
j-invariant |
L |
7.8747958689987 |
L(r)(E,1)/r! |
Ω |
0.46902627819216 |
Real period |
R |
0.69956953330274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690g1 |
Quadratic twists by: -3 |