Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075t |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
174654997628625 = 34 · 53 · 297 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15156,332533] |
[a1,a2,a3,a4,a6] |
Generators |
[884:22233:64] |
Generators of the group modulo torsion |
j |
5177717/2349 |
j-invariant |
L |
9.2878678036218 |
L(r)(E,1)/r! |
Ω |
0.51220807242714 |
Real period |
R |
2.266624713522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63075h1 2175e1 |
Quadratic twists by: 5 29 |