Atkin-Lehner |
3+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16653d |
Isogeny class |
Conductor |
16653 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-783356570451 = -1 · 34 · 7 · 135 · 612 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 4 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-265517,52749320] |
[a1,a2,a3,a4,a6] |
Generators |
[272:760:1] |
Generators of the group modulo torsion |
j |
-2070152527451539898368/783356570451 |
j-invariant |
L |
2.7326664794495 |
L(r)(E,1)/r! |
Ω |
0.7262016420856 |
Real period |
R |
0.18814791382194 |
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 |
49959g1 116571o1 |
Quadratic twists by: -3 -7 |