Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070v |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
322383974400 = 212 · 33 · 52 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6968,223931] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:691:1] |
Generators of the group modulo torsion |
j |
1385561926915587/11940147200 |
j-invariant |
L |
8.3371506202536 |
L(r)(E,1)/r! |
Ω |
0.96982948956422 |
Real period |
R |
2.1491279420674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
29070e3 |
Quadratic twists by: -3 |