Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248s |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-324001595392 = -1 · 228 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 0 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,927,24833] |
[a1,a2,a3,a4,a6] |
Generators |
[-241984782:195444341:12812904] |
Generators of the group modulo torsion |
j |
335702375/1235968 |
j-invariant |
L |
10.094924530351 |
L(r)(E,1)/r! |
Ω |
0.68565780376817 |
Real period |
R |
14.722977665528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77248d1 19312h1 |
Quadratic twists by: -4 8 |