Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29890o |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
3663800828186800 = 24 · 52 · 79 · 613 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40181,-1066255] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1419:1] |
Generators of the group modulo torsion |
j |
177788739367/90792400 |
j-invariant |
L |
10.141885911842 |
L(r)(E,1)/r! |
Ω |
0.35610948958757 |
Real period |
R |
1.7799802814135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29890z1 |
Quadratic twists by: -7 |