Atkin-Lehner |
2- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29450t |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
77201408000 = 220 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1768,25152] |
[a1,a2,a3,a4,a6] |
Generators |
[32:24:1] |
Generators of the group modulo torsion |
j |
4889628159317/617611264 |
j-invariant |
L |
5.3615947552019 |
L(r)(E,1)/r! |
Ω |
1.0484968687714 |
Real period |
R |
0.51136011130718 |
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 |
29450j1 |
Quadratic twists by: 5 |