Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432j |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1155513703168 = -1 · 28 · 11 · 177 |
Discriminant |
Eigenvalues |
2+ 0 0 -3 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5780,176868] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:578:1] [17:289:1] |
Generators of the group modulo torsion |
j |
-3456000/187 |
j-invariant |
L |
7.2557660468991 |
L(r)(E,1)/r! |
Ω |
0.85684573058767 |
Real period |
R |
0.52924973742958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50864b1 1496b1 |
Quadratic twists by: -4 17 |