Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
91324d |
Isogeny class |
Conductor |
91324 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
488158195456 = 28 · 176 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52116,-4596652] |
[a1,a2,a3,a4,a6] |
Generators |
[-7271794:440147:54872] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
4.7319719590778 |
L(r)(E,1)/r! |
Ω |
0.31597804226124 |
Real period |
R |
7.4878177079455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
316a1 |
Quadratic twists by: 17 |