Atkin-Lehner |
3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635b |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1511424 |
Modular degree for the optimal curve |
Δ |
2.8851817326516E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9077536,-6639202336] |
[a1,a2,a3,a4,a6] |
j |
82723262651056423666303489/28851817326516033320625 |
j-invariant |
L |
0.26839070871808 |
L(r)(E,1)/r! |
Ω |
0.089463569572691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905bj1 98175be1 |
Quadratic twists by: -3 5 |