Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19635k |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-164013609375 = -1 · 36 · 56 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-825,-21858] |
[a1,a2,a3,a4,a6] |
Generators |
[62:381:1] |
Generators of the group modulo torsion |
j |
-62103840598801/164013609375 |
j-invariant |
L |
2.6612700619432 |
L(r)(E,1)/r! |
Ω |
0.41393854055975 |
Real period |
R |
1.0715238299001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905t1 98175bk1 |
Quadratic twists by: -3 5 |