Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
66780j |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-75124448741664000 = -1 · 28 · 317 · 53 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203727,-37770154] |
[a1,a2,a3,a4,a6] |
Generators |
[2887:153090:1] |
Generators of the group modulo torsion |
j |
-5010741385126864/402544414125 |
j-invariant |
L |
7.7446857822994 |
L(r)(E,1)/r! |
Ω |
0.11184408550136 |
Real period |
R |
0.64116089123329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260b1 |
Quadratic twists by: -3 |