Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550bq |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
38687490842880000 = 211 · 3 · 54 · 118 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- -7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-122288,-13518319] |
[a1,a2,a3,a4,a6] |
Generators |
[461:5093:1] [-235:1637:1] |
Generators of the group modulo torsion |
j |
323590261866881425/61899985348608 |
j-invariant |
L |
13.064898034931 |
L(r)(E,1)/r! |
Ω |
0.25869193977098 |
Real period |
R |
0.19130186342972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550s1 |
Quadratic twists by: 5 |