Atkin-Lehner |
2- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
39650h |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
-1547936000000 = -1 · 211 · 56 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 2 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2788,82192] |
[a1,a2,a3,a4,a6] |
Generators |
[48:220:1] |
Generators of the group modulo torsion |
j |
-153388121977/99067904 |
j-invariant |
L |
10.593985547614 |
L(r)(E,1)/r! |
Ω |
0.78238534256767 |
Real period |
R |
0.61548289751738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1586a1 |
Quadratic twists by: 5 |